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190188900 = 2232521119211
BaseRepresentation
bin10110101011000…
…00110101100100
3111020212121010100
423111200311210
5342142021100
630512224100
74466402406
oct1325406544
9436777110
10190188900
11983a1810
125383b030
1330530715
141b38ab76
1511a6c400
hexb560d64

190188900 has 108 divisors (see below), whose sum is σ = 650364624. Its totient is φ = 46104000.

The previous prime is 190188893. The next prime is 190188913. The reversal of 190188900 is 9881091.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 295 + ... + 19505.

Almost surely, 2190188900 is an apocalyptic number.

190188900 is a gapful number since it is divisible by the number (10) 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 190188900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325182312).

190188900 is an abundant number, since it is smaller than the sum of its proper divisors (460175724).

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

190188900 is a wasteful number, since it uses less digits than its factorization.

190188900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19242 (or 19232 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 190188900 is about 13790.8991730054. The cubic root of 190188900 is about 575.0801652565.

The spelling of 190188900 in words is "one hundred ninety million, one hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 19211 38422 57633 76844 96055 115266 172899 192110 211321 230532 288165 345798 384220 422642 480275 576330 633963 691596 845284 864495 960550 1056605 1152660 1267926 1440825 1728990 1901889 1921100 2113210 2535852 2881650 3169815 3457980 3803778 4226420 4322475 5283025 5763300 6339630 7607556 8644950 9509445 10566050 12679260 15849075 17289900 19018890 21132100 31698150 38037780 47547225 63396300 95094450 190188900