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199883140 = 22553269701
BaseRepresentation
bin10111110100111…
…11100110000100
3111221010010010021
423322133212010
5402132230030
631500104524
74644656452
oct1372374604
9457103107
10199883140
11a2913186
1256b35144
1332546062
141c7919d2
151283497a
hexbe9f984

199883140 has 48 divisors (see below), whose sum is σ = 429876720. Its totient is φ = 78041600.

The previous prime is 199883129. The next prime is 199883171. The reversal of 199883140 is 41388991.

It can be written as a sum of positive squares in 8 ways, for example, as 56644 + 199826496 = 238^2 + 14136^2 .

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, 284790 + ... + 285490.

It is an arithmetic number, because the mean of its divisors is an integer number (8955765).

Almost surely, 2199883140 is an apocalyptic number.

199883140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199883140 is an abundant number, since it is smaller than the sum of its proper divisors (229993580).

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

199883140 is a wasteful number, since it uses less digits than its factorization.

199883140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 199883140 is about 14138.0033951050. The cubic root of 199883140 is about 584.6896252138.

The spelling of 199883140 in words is "one hundred ninety-nine million, eight hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 269 530 538 701 1060 1076 1345 1402 2690 2804 3505 5380 7010 14020 14257 28514 37153 57028 71285 74306 142570 148612 185765 188569 285140 371530 377138 743060 754276 942845 1885690 3771380 9994157 19988314 39976628 49970785 99941570 199883140