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232114194 = 23313714657
BaseRepresentation
bin11011101010111…
…00100000010010
3121011202121211000
431311130200102
5433410123234
635011002430
75515636524
oct1565344022
9534677730
10232114194
1110a027914
1265899416
133911c6a0
1422b81a14
151559e899
hexdd5c812

232114194 has 64 divisors (see below), whose sum is σ = 563431680. Its totient is φ = 70398720.

The previous prime is 232114193. The next prime is 232114237. The reversal of 232114194 is 491411232.

It is a happy number.

232114194 is a `hidden beast` number, since 232 + 11 + 419 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (232114193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47514 + ... + 52170.

It is an arithmetic number, because the mean of its divisors is an integer number (8803620).

Almost surely, 2232114194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232114194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281715840).

232114194 is an abundant number, since it is smaller than the sum of its proper divisors (331317486).

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

232114194 is a wasteful number, since it uses less digits than its factorization.

232114194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4746 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 232114194 is about 15235.2943522598. The cubic root of 232114194 is about 614.5641647350.

The spelling of 232114194 in words is "two hundred thirty-two million, one hundred fourteen thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 71 78 117 142 213 234 351 426 639 702 923 1278 1846 1917 2769 3834 4657 5538 8307 9314 13971 16614 24921 27942 41913 49842 60541 83826 121082 125739 181623 251478 330647 363246 544869 661294 991941 1089738 1634607 1983882 2975823 3269214 4298411 5951646 8596822 8927469 12895233 17854938 25790466 38685699 77371398 116057097 232114194