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199890880 = 265789237
BaseRepresentation
bin10111110101000…
…01011111000000
3111221010111201221
423322201133000
5402133002010
631500204424
74645021150
oct1372413700
9457114657
10199890880
11a2918a82
1256b39714
1332549737
141c794760
1512836dda
hexbea17c0

199890880 has 56 divisors (see below), whose sum is σ = 543994848. Its totient is φ = 68533248.

The previous prime is 199890869. The next prime is 199890893. The reversal of 199890880 is 88098991.

199890880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42379 + ... + 46858.

Almost surely, 2199890880 is an apocalyptic number.

199890880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199890880 is an abundant number, since it is smaller than the sum of its proper divisors (344103968).

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

199890880 is an equidigital number, since it uses as much as digits as its factorization.

199890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89261 (or 89251 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 52.

The square root of 199890880 is about 14138.2771227615. The cubic root of 199890880 is about 584.6971720222.

The spelling of 199890880 in words is "one hundred ninety-nine million, eight hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 89237 178474 356948 446185 624659 713896 892370 1249318 1427792 1784740 2498636 2855584 3123295 3569480 4997272 5711168 6246590 7138960 9994544 12493180 14277920 19989088 24986360 28555840 39978176 49972720 99945440 199890880