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220023224001240 = 233511259364282399
BaseRepresentation
bin110010000001110000100110…
…000110111110001011011000
31001212001000101210011001202020
4302001300212012332023120
5212314330030321014430
62055541135042334440
764226103413156022
oct6201604606761330
91055030353131666
10220023224001240
1164119363a56240
1220815b8465a420
1395a0140b7078a
143c492763dd012
151a68497c30b10
hexc81c261be2d8

220023224001240 has 128 divisors (see below), whose sum is σ = 720353716992000. Its totient is φ = 53318392197120.

The previous prime is 220023224001223. The next prime is 220023224001257. The reversal of 220023224001240 is 42100422320022.

It is an interprime number because it is at equal distance from previous prime (220023224001223) and next prime (220023224001257).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220023224001240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28718440 + ... + 35563959.

It is an arithmetic number, because the mean of its divisors is an integer number (5627763414000).

Almost surely, 2220023224001240 is an apocalyptic number.

220023224001240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220023224001240 is an abundant number, since it is smaller than the sum of its proper divisors (500330492990760).

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

220023224001240 is a wasteful number, since it uses less digits than its factorization.

220023224001240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64285017 (or 64285013 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 220023224001240 its reverse (42100422320022), we get a palindrome (262123646321262).

The spelling of 220023224001240 in words is "two hundred twenty trillion, twenty-three billion, two hundred twenty-four million, one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2593 5186 7779 10372 12965 15558 20744 25930 28523 31116 38895 51860 57046 62232 77790 85569 103720 114092 142615 155580 171138 228184 285230 311160 342276 427845 570460 684552 855690 1140920 1711380 3422760 64282399 128564798 192847197 257129596 321411995 385694394 514259192 642823990 707106389 771388788 964235985 1285647980 1414212778 1542777576 1928471970 2121319167 2571295960 2828425556 3535531945 3856943940 4242638334 5656851112 7071063890 7713887880 8485276668 10606595835 14142127780 16970553336 21213191670 28284255560 42426383340 84852766680 166684260607 333368521214 500052781821 666737042428 833421303035 1000105563642 1333474084856 1666842606070 1833526866677 2000211127284 2500263909105 3333685212140 3667053733354 4000422254568 5000527818210 5500580600031 6667370424280 7334107466708 9167634333385 10001055636420 11001161200062 14668214933416 18335268666770 20002111272840 22002322400124 27502903000155 36670537333540 44004644800248 55005806000310 73341074667080 110011612000620 220023224001240