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190292664 = 23329373733
BaseRepresentation
bin10110101011110…
…10001010111000
3111021001212110110
423111322022320
5342203331124
630514344320
74500314052
oct1325721270
9437055413
10190292664
1198462771
125388b0a0
1330568a13
141b3b68d2
1511a8d029
hexb57a2b8

190292664 has 64 divisors (see below), whose sum is σ = 494128800. Its totient is φ = 60996096.

The previous prime is 190292653. The next prime is 190292699. The reversal of 190292664 is 466292091.

It is a super-2 number, since 2×1902926642 = 72422595944433792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259242 + ... + 259974.

Almost surely, 2190292664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190292664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247064400).

190292664 is an abundant number, since it is smaller than the sum of its proper divisors (303836136).

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

190292664 is a wasteful number, since it uses less digits than its factorization.

190292664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 190292664 is about 13794.6607062298. The cubic root of 190292664 is about 575.1847310670.

The spelling of 190292664 in words is "one hundred ninety million, two hundred ninety-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 373 696 733 746 1119 1466 1492 2199 2238 2932 2984 4398 4476 5864 8796 8952 10817 17592 21257 21634 32451 42514 43268 63771 64902 85028 86536 127542 129804 170056 255084 259608 273409 510168 546818 820227 1093636 1640454 2187272 3280908 6561816 7928861 15857722 23786583 31715444 47573166 63430888 95146332 190292664