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231222245061984 = 25311517874228097
BaseRepresentation
bin110100100100101110011111…
…110001111111010101100000
31010022200122000211001011100120
4310210232133301333111200
5220301321124213440414
62135434011042120240
766463153532433141
oct6444563761772540
91108618024034316
10231222245061984
1167746892427840
1221b24506050080
139c0321983b9a7
144115305a2bac8
151bae94b93d2a9
hexd24b9fc7f560

231222245061984 has 96 divisors (see below), whose sum is σ = 662149371413376. Its totient is φ = 70065977425920.

The previous prime is 231222245061961. The next prime is 231222245062001. The reversal of 231222245061984 is 489160542222132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2312222450619842 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52573024 + ... + 56801120.

It is an arithmetic number, because the mean of its divisors is an integer number (6897389285556).

Almost surely, 2231222245061984 is an apocalyptic number.

231222245061984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231222245061984 is an abundant number, since it is smaller than the sum of its proper divisors (430927126351392).

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

231222245061984 is a wasteful number, since it uses less digits than its factorization.

231222245061984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279908 (or 4279900 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 231222245061984 in words is "two hundred thirty-one trillion, two hundred twenty-two billion, two hundred forty-five million, sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 51787 103574 155361 207148 310722 414296 569657 621444 828592 1139314 1242888 1657184 1708971 2278628 2485776 3417942 4228097 4557256 4971552 6835884 8456194 9114512 12684291 13671768 16912388 18229024 25368582 27343536 33824776 46509067 50737164 54687072 67649552 93018134 101474328 135299104 139527201 186036268 202948656 279054402 372072536 405897312 558108804 744145072 1116217608 1488290144 2232435216 4464870432 218960459339 437920918678 656881378017 875841837356 1313762756034 1751683674712 2408565052729 2627525512068 3503367349424 4817130105458 5255051024136 7006734698848 7225695158187 9634260210916 10510102048272 14451390316374 19268520421832 21020204096544 28902780632748 38537040843664 57805561265496 77074081687328 115611122530992 231222245061984