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230825369321472 = 21436916796171
BaseRepresentation
bin110100011110111100111000…
…001001001100000000000000
31010021021200121212022121200010
4310132330320021030000000
5220223320324021241342
62134531413305424520
766422403555336312
oct6436747011140000
91107250555277603
10230825369321472
1167603542416882
1221a7b60519b140
139ba497b570803
1441000167797b2
151ba446e48129c
hexd1ef3824c000

230825369321472 has 120 divisors (see below), whose sum is σ = 616406384813632. Its totient is φ = 76830430003200.

The previous prime is 230825369321467. The next prime is 230825369321489. The reversal of 230825369321472 is 274123963528032.

It is a super-2 number, since 2×2308253693214722 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30565947 + ... + 37362117.

It is a 2-persistent number, because it is pandigital, and so is 2⋅230825369321472 = 461650738642944, but 3⋅230825369321472 = 692476107964416 is not.

Almost surely, 2230825369321472 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 230825369321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308203192406816).

230825369321472 is an abundant number, since it is smaller than the sum of its proper divisors (385581015492160).

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

230825369321472 is an frugal number, since it uses more digits than its factorization.

230825369321472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796893 (or 6796867 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 230825369321472 in words is "two hundred thirty trillion, eight hundred twenty-five billion, three hundred sixty-nine million, three hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 691 768 1024 1382 1536 2048 2073 2764 3072 4096 4146 5528 6144 8192 8292 11056 12288 16384 16584 22112 24576 33168 44224 49152 66336 88448 132672 176896 265344 353792 530688 707584 1061376 1415168 2122752 2830336 4245504 5660672 6796171 8491008 11321344 13592342 16982016 20388513 27184684 33964032 40777026 54369368 81554052 108738736 163108104 217477472 326216208 434954944 652432416 869909888 1304864832 1739819776 2609729664 3479639552 4696154161 5219459328 6959279104 9392308322 10438918656 13918558208 14088462483 18784616644 20877837312 27837116416 28176924966 37569233288 41755674624 55674232832 56353849932 75138466576 83511349248 111348465664 112707699864 150276933152 167022698496 225415399728 300553866304 334045396992 450830799456 601107732608 901661598912 1202215465216 1803323197824 2404430930432 3606646395648 4808861860864 7213292791296 9617723721728 14426585582592 19235447443456 28853171165184 38470894886912 57706342330368 76941789773824 115412684660736 230825369321472