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231705457152 = 293132892603
BaseRepresentation
bin1101011111001010111…
…0001011001000000000
3211011001221200210021020
43113302232023020000
512244013044112102
6254235524025440
722511606614101
oct3276256131000
9734057623236
10231705457152
118a2a1765454
1238aa5832280
1318b07b21700
14b300c323a8
156061b7dbbc
hex35f2b8b200

231705457152 has 120 divisors (see below), whose sum is σ = 668414008944. Its totient is φ = 71293906944.

The previous prime is 231705457117. The next prime is 231705457163. The reversal of 231705457152 is 251754507132.

It is a happy number.

It is a super-2 number, since 2×2317054571522 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186718 + ... + 705885.

Almost surely, 2231705457152 is an apocalyptic number.

It is an amenable number.

231705457152 is an abundant number, since it is smaller than the sum of its proper divisors (436708551792).

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

231705457152 is an equidigital number, since it uses as much as digits as its factorization.

231705457152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892650 (or 892621 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 231705457152 in words is "two hundred thirty-one billion, seven hundred five million, four hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 512 624 676 768 832 1014 1248 1352 1536 1664 2028 2496 2704 3328 4056 4992 5408 6656 8112 9984 10816 16224 19968 21632 32448 43264 64896 86528 129792 259584 892603 1785206 2677809 3570412 5355618 7140824 10711236 11603839 14281648 21422472 23207678 28563296 34811517 42844944 46415356 57126592 69623034 85689888 92830712 114253184 139246068 150849907 171379776 185661424 228506368 278492136 301699814 342759552 371322848 452549721 457012736 556984272 603399628 685519104 742645696 905099442 1113968544 1206799256 1371038208 1485291392 1810198884 2227937088 2413598512 2970582784 3620397768 4455874176 4827197024 5941165568 7240795536 8911748352 9654394048 14481591072 17823496704 19308788096 28963182144 38617576192 57926364288 77235152384 115852728576 231705457152