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231226329648 = 2432926193901
BaseRepresentation
bin1101011101011000101…
…0011100101000110000
3211002211120010120220010
43113112022130220300
512242022420022043
6254120210414520
722464001241646
oct3272612345060
9732746116803
10231226329648
118a076264906
1238991291440
1318a5c796c02
14b297351196
156034a8a133
hex35d629ca30

231226329648 has 120 divisors (see below), whose sum is σ = 628791079696. Its totient is φ = 73196928000.

The previous prime is 231226329643. The next prime is 231226329667. The reversal of 231226329648 is 846923622132.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 231226329597 and 231226329606.

It is not an unprimeable number, because it can be changed into a prime (231226329641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2415498 + ... + 2509398.

Almost surely, 2231226329648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231226329648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314395539848).

231226329648 is an abundant number, since it is smaller than the sum of its proper divisors (397564750048).

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

231226329648 is a wasteful number, since it uses less digits than its factorization.

231226329648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94031 (or 93996 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 231226329648 in words is "two hundred thirty-one billion, two hundred twenty-six million, three hundred twenty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 61 87 116 122 174 183 232 244 348 366 464 488 696 732 841 976 1392 1464 1682 1769 2523 2928 3364 3538 5046 5307 6728 7076 10092 10614 13456 14152 20184 21228 28304 40368 42456 51301 84912 93901 102602 153903 187802 205204 281703 307806 375604 410408 563406 615612 751208 820816 1126812 1231224 1502416 2253624 2462448 2723129 4507248 5446258 5727961 8169387 10892516 11455922 16338774 17183883 21785032 22911844 32677548 34367766 43570064 45823688 65355096 68735532 78970741 91647376 130710192 137471064 157941482 166110869 236912223 274942128 315882964 332221738 473824446 498332607 631765928 664443476 947648892 996665214 1263531856 1328886952 1895297784 1993330428 2657773904 3790595568 3986660856 4817215201 7973321712 9634430402 14451645603 19268860804 28903291206 38537721608 57806582412 77075443216 115613164824 231226329648