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199384164 = 223272927283
BaseRepresentation
bin10111110001001…
…01110001100100
3111220011202122200
423320211301210
5402020243124
631441254500
74640510640
oct1370456144
9456152580
10199384164
11a2602301
1256934430
13323ccbc5
141c6a1c20
1512786bc9
hexbe25c64

199384164 has 72 divisors (see below), whose sum is σ = 595882560. Its totient is φ = 55000512.

The previous prime is 199384153. The next prime is 199384223. The reversal of 199384164 is 461483991.

199384164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 6334 + ... + 20949.

Almost surely, 2199384164 is an apocalyptic number.

199384164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

199384164 is an abundant number, since it is smaller than the sum of its proper divisors (396498396).

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

199384164 is a wasteful number, since it uses less digits than its factorization.

199384164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27329 (or 27324 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 199384164 is about 14120.3457464752. The cubic root of 199384164 is about 584.2026920431.

The spelling of 199384164 in words is "one hundred ninety-nine million, three hundred eighty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 27283 54566 81849 109132 163698 190981 245547 327396 381962 491094 572943 763924 791207 982188 1145886 1582414 1718829 2291772 2373621 3164828 3437658 4747242 5538449 6875316 7120863 9494484 11076898 14241726 16615347 22153796 28483452 33230694 49846041 66461388 99692082 199384164