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194977152 = 273356417
BaseRepresentation
bin10111001111100…
…01110110000000
3111120212212101000
423213301312000
5344403232102
631203012000
74555164336
oct1347616600
9446785330
10194977152
11a0072247
125536a000
1331518cc6
141bc75b56
15121b601c
hexb9f1d80

194977152 has 64 divisors (see below), whose sum is σ = 575463600. Its totient is φ = 64991232.

The previous prime is 194977117. The next prime is 194977207. The reversal of 194977152 is 251779491.

194977152 is a `hidden beast` number, since 1 + 9 + 497 + 7 + 152 = 666.

194977152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1949771522 = 76032179604062208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 194977098 and 194977107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24753 + ... + 31664.

Almost surely, 2194977152 is an apocalyptic number.

194977152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

194977152 is an abundant number, since it is smaller than the sum of its proper divisors (380486448).

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

194977152 is an equidigital number, since it uses as much as digits as its factorization.

194977152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56440 (or 56422 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 194977152 is about 13963.4219301717. The cubic root of 194977152 is about 579.8663504976.

The spelling of 194977152 in words is "one hundred ninety-four million, nine hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 56417 112834 169251 225668 338502 451336 507753 677004 902672 1015506 1354008 1523259 1805344 2031012 2708016 3046518 3610688 4062024 5416032 6093036 7221376 8124048 10832064 12186072 16248096 21664128 24372144 32496192 48744288 64992384 97488576 194977152