Search a number
-
+
220323133222320 = 24352398340603877
BaseRepresentation
bin110010000110000111111010…
…000101110110110110110000
31001220002200111222021001020010
4302012013322011312312300
5212334233234101103240
62100331014454014520
764256551426402662
oct6206077205666660
91056080458231203
10220323133222320
1164224574989a37
1220864123647440
1395c24c7c36a3b
143c599a7470532
151a7119c45c280
hexc861fa176db0

220323133222320 has 160 divisors (see below), whose sum is σ = 713422480038912. Its totient is φ = 56141192774656.

The previous prime is 220323133222271. The next prime is 220323133222327. The reversal of 220323133222320 is 23222331323022.

220323133222320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (220323133222327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14875779 + ... + 25728098.

Almost surely, 2220323133222320 is an apocalyptic number.

220323133222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220323133222320 is an abundant number, since it is smaller than the sum of its proper divisors (493099346816592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220323133222320 is a wasteful number, since it uses less digits than its factorization.

220323133222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40604899 (or 40604893 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 220323133222320 its reverse (23222331323022), we get a palindrome (243545464545342).

The spelling of 220323133222320 in words is "two hundred twenty trillion, three hundred twenty-three billion, one hundred thirty-three million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 983 1104 1380 1840 1966 2760 2949 3932 4915 5520 5898 7864 9830 11796 14745 15728 19660 22609 23592 29490 39320 45218 47184 58980 67827 78640 90436 113045 117960 135654 180872 226090 235920 271308 339135 361744 452180 542616 678270 904360 1085232 1356540 1808720 2713080 5426160 40603877 81207754 121811631 162415508 203019385 243623262 324831016 406038770 487246524 609058155 649662032 812077540 933889171 974493048 1218116310 1624155080 1867778342 1948986096 2436232620 2801667513 3248310160 3735556684 4669445855 4872465240 5603335026 7471113368 9338891710 9744930480 11206670052 14008337565 14942226736 18677783420 22413340104 28016675130 37355566840 39913611091 44826680208 56033350260 74711133680 79827222182 112066700520 119740833273 159654444364 199568055455 224133401040 239481666546 319308888728 399136110910 478963333092 598704166365 638617777456 798272221820 918013055093 957926666184 1197408332730 1596544443640 1836026110186 1915853332368 2394816665460 2754039165279 3193088887280 3672052220372 4590065275465 4789633330920 5508078330558 7344104440744 9180130550930 9579266661840 11016156661116 13770195826395 14688208881488 18360261101860 22032313322232 27540391652790 36720522203720 44064626644464 55080783305580 73441044407440 110161566611160 220323133222320