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194506312 = 2371113107227
BaseRepresentation
bin10111001011111…
…10111001001000
3111112222221111111
423211332321020
5344243200222
631144540104
74551163540
oct1345767110
9445887444
10194506312
119a880520
1255181634
13313b28c0
141bb92320
1512121777
hexb97ee48

194506312 has 128 divisors (see below), whose sum is σ = 496419840. Its totient is φ = 68993280.

The previous prime is 194506309. The next prime is 194506349. The reversal of 194506312 is 213605491.

It is a zygodrome in base 3.

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, 856743 + ... + 856969.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2194506312 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 194506312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

194506312 is an abundant number, since it is smaller than the sum of its proper divisors (301913528).

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

194506312 is a wasteful number, since it uses less digits than its factorization.

194506312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 194506312 is about 13946.5519753092. The cubic root of 194506312 is about 579.3992114241.

The spelling of 194506312 in words is "one hundred ninety-four million, five hundred six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 107 143 154 182 214 227 286 308 364 428 454 572 616 728 749 856 908 1001 1144 1177 1391 1498 1589 1816 2002 2354 2497 2782 2951 2996 3178 4004 4708 4994 5564 5902 5992 6356 8008 8239 9416 9737 9988 11128 11804 12712 15301 16478 17479 19474 19976 20657 23608 24289 30602 32461 32956 34958 38948 41314 48578 61204 64922 65912 69916 77896 82628 97156 107107 122408 129844 139832 165256 170023 194312 214214 227227 259688 267179 315757 340046 428428 454454 534358 631514 680092 856856 908908 1068716 1263028 1360184 1817816 1870253 2137432 2210299 2526056 3473327 3740506 4420598 6946654 7481012 8841196 13893308 14962024 17682392 24313289 27786616 48626578 97253156 194506312