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223137121321156 = 227711032115164589
BaseRepresentation
bin110010101111000100101000…
…110110100100000011000100
31002021001200220122022200102111
4302233010220312210003010
5213221334311024234111
62110323440044550404
765000060610523240
oct6257045066440304
91067050818280374
10223137121321156
1165109a158a4179
1221039576552404
13976798144a623
143d15c73d41420
151abe4967ada21
hexcaf128da40c4

223137121321156 has 96 divisors (see below), whose sum is σ = 459119325450240. Its totient is φ = 92925398966400.

The previous prime is 223137121321129. The next prime is 223137121321199. The reversal of 223137121321156 is 651123121731322.

It is a super-3 number, since 3×2231371213211563 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 40622910 + ... + 45787498.

It is an arithmetic number, because the mean of its divisors is an integer number (4782492973440).

Almost surely, 2223137121321156 is an apocalyptic number.

It is an amenable number.

223137121321156 is an abundant number, since it is smaller than the sum of its proper divisors (235982204129084).

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

223137121321156 is a wasteful number, since it uses less digits than its factorization.

223137121321156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164985 (or 5164983 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The spelling of 223137121321156 in words is "two hundred twenty-three trillion, one hundred thirty-seven billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 28 71 103 142 206 211 284 412 422 497 721 844 994 1442 1477 1988 2884 2954 5908 7313 14626 14981 21733 29252 29962 43466 51191 59924 86932 102382 104867 152131 204764 209734 304262 419468 608524 1543043 3086086 5164589 6172172 10329178 10801301 20658356 21602602 36152123 43205204 72304246 144608492 366685819 531952667 733371638 1063905334 1089728279 1466743276 2127810668 2179456558 2566800733 3723668669 4358913116 5133601466 7447337338 7628097953 10267202932 14894674676 15256195906 30512391812 37768639357 75537278714 77370707809 112242012737 151074557428 154741415618 224484025474 264380475499 309482831236 448968050948 528760950998 541594954663 785694089159 1057521901996 1083189909326 1571388178318 2166379818652 3142776356636 7969182904327 15938365808654 31876731617308 55784280330289 111568560660578 223137121321156