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199861640 = 23511454231
BaseRepresentation
bin10111110100110…
…10010110001000
3111221002000121222
423322122112020
5402131033030
631455421212
74644536666
oct1372322610
9457060558
10199861640
11a28a9010
1256b24808
1332539334
141c787c36
151282d3e5
hexbe9a588

199861640 has 32 divisors (see below), whose sum is σ = 490570560. Its totient is φ = 72676800.

The previous prime is 199861633. The next prime is 199861643. The reversal of 199861640 is 46168991.

199861640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 199861591 and 199861600.

It is not an unprimeable number, because it can be changed into a prime (199861643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226676 + ... + 227555.

It is an arithmetic number, because the mean of its divisors is an integer number (15330330).

Almost surely, 2199861640 is an apocalyptic number.

199861640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199861640 is an abundant number, since it is smaller than the sum of its proper divisors (290708920).

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

199861640 is a wasteful number, since it uses less digits than its factorization.

199861640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454253 (or 454249 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 199861640 is about 14137.2430126952. The cubic root of 199861640 is about 584.6686608348.

The spelling of 199861640 in words is "one hundred ninety-nine million, eight hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 454231 908462 1816924 2271155 3633848 4542310 4996541 9084620 9993082 18169240 19986164 24982705 39972328 49965410 99930820 199861640