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194374656 = 21032723131
BaseRepresentation
bin10111001010111…
…10110000000000
3111112202020220100
423211132300000
5344224442111
631142042400
74550104650
oct1345366000
9445666810
10194374656
119a7a0613
1255119400
13313679b8
141bb5a360
15120e7756
hexb95ec00

194374656 has 264 divisors, whose sum is σ = 674429184. Its totient is φ = 52715520.

The previous prime is 194374639. The next prime is 194374673. The reversal of 194374656 is 656473491.

194374656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (194374639) and next prime (194374673).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483711 + ... + 1483841.

It is an arithmetic number, because the mean of its divisors is an integer number (2554656).

Almost surely, 2194374656 is an apocalyptic number.

194374656 is a gapful number since it is divisible by the number (16) 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 194374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337214592).

194374656 is an abundant number, since it is smaller than the sum of its proper divisors (480054528).

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

194374656 is a wasteful number, since it uses less digits than its factorization.

194374656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 194374656 is about 13941.8311566308. The cubic root of 194374656 is about 579.2684554276.

The spelling of 194374656 in words is "one hundred ninety-four million, three hundred seventy-four thousand, six hundred fifty-six".