Search a number
-
+
2202130320 = 243513719941
BaseRepresentation
bin1000001101000001…
…1101011110010000
312200110200210220020
42003100131132100
514002221132240
61002303143440
7105366541005
oct20320353620
95613623806
102202130320
11a30055115
125155a4b80
132912c91c0
1416c6738ac
15cd4dd0d0
hex8341d790

2202130320 has 160 divisors (see below), whose sum is σ = 7456022784. Its totient is φ = 534374400.

The previous prime is 2202130289. The next prime is 2202130351. The reversal of 2202130320 is 230312022.

It is an interprime number because it is at equal distance from previous prime (2202130289) and next prime (2202130351).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2202130320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216550 + ... + 226490.

Almost surely, 22202130320 is an apocalyptic number.

2202130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728011392).

2202130320 is an abundant number, since it is smaller than the sum of its proper divisors (5253892464).

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

2202130320 is a wasteful number, since it uses less digits than its factorization.

2202130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10041 (or 10035 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2202130320 is about 46926.8613908921. The cubic root of 2202130320 is about 1301.0111108127.

Adding to 2202130320 its reverse (230312022), we get a palindrome (2432442342).

The spelling of 2202130320 in words is "two billion, two hundred two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 71 78 80 104 120 130 142 156 195 208 213 240 260 284 312 355 390 426 520 568 624 710 780 852 923 1040 1065 1136 1420 1560 1704 1846 2130 2769 2840 3120 3408 3692 4260 4615 5538 5680 7384 8520 9230 9941 11076 13845 14768 17040 18460 19882 22152 27690 29823 36920 39764 44304 49705 55380 59646 73840 79528 99410 110760 119292 129233 149115 159056 198820 221520 238584 258466 298230 387699 397640 477168 516932 596460 646165 705811 775398 795280 1033864 1192920 1292330 1411622 1550796 1938495 2067728 2117433 2385840 2584660 2823244 3101592 3529055 3876990 4234866 5169320 5646488 6203184 7058110 7753980 8469732 9175543 10338640 10587165 11292976 14116220 15507960 16939464 18351086 21174330 27526629 28232440 31015920 33878928 36702172 42348660 45877715 55053258 56464880 73404344 84697320 91755430 110106516 137633145 146808688 169394640 183510860 220213032 275266290 367021720 440426064 550532580 734043440 1101065160 2202130320