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194157312 = 2832411049
BaseRepresentation
bin10111001001010…
…01101100000000
3111112100012202120
423210221230000
5344201013222
631133244240
74545211206
oct1344515400
9445305676
10194157312
119a662298
1255033680
13312bcaab
141bb01076
15120a315c
hexb929b00

194157312 has 72 divisors (see below), whose sum is σ = 519380400. Its totient is φ = 64389120.

The previous prime is 194157307. The next prime is 194157331. The reversal of 194157312 is 213751491.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184564 + ... + 185612.

Almost surely, 2194157312 is an apocalyptic number.

194157312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259690200).

194157312 is an abundant number, since it is smaller than the sum of its proper divisors (325223088).

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

194157312 is a wasteful number, since it uses less digits than its factorization.

194157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1295 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 194157312 is about 13934.0343045365. The cubic root of 194157312 is about 579.0524679441.

The spelling of 194157312 in words is "one hundred ninety-four million, one hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 256 384 482 723 768 964 1049 1446 1928 2098 2892 3147 3856 4196 5784 6294 7712 8392 11568 12588 15424 16784 23136 25176 30848 33568 46272 50352 61696 67136 92544 100704 134272 185088 201408 252809 268544 402816 505618 758427 805632 1011236 1516854 2022472 3033708 4044944 6067416 8089888 12134832 16179776 24269664 32359552 48539328 64719104 97078656 194157312