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199370880 = 2732534613
BaseRepresentation
bin10111110001000…
…10100010000000
3111220011002102200
423320202202000
5402014332010
631441113200
74640424132
oct1370424200
9456132380
10199370880
11a25a3325
1256928800
13323c6b47
141c69b052
1512782cc0
hexbe22880

199370880 has 96 divisors (see below), whose sum is σ = 688472460. Its totient is φ = 53164032.

The previous prime is 199370879. The next prime is 199370881. The reversal of 199370880 is 88073991.

It is an interprime number because it is at equal distance from previous prime (199370879) and next prime (199370881).

It can be written as a sum of positive squares in 2 ways, for example, as 195776064 + 3594816 = 13992^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (199370881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11547 + ... + 23066.

Almost surely, 2199370880 is an apocalyptic number.

199370880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199370880 is an abundant number, since it is smaller than the sum of its proper divisors (489101580).

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

199370880 is a wasteful number, since it uses less digits than its factorization.

199370880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34638 (or 34623 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 199370880 is about 14119.8753535575. The cubic root of 199370880 is about 584.1897175575.

The spelling of 199370880 in words is "one hundred ninety-nine million, three hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 34613 69226 103839 138452 173065 207678 276904 311517 346130 415356 519195 553808 623034 692260 830712 1038390 1107616 1246068 1384520 1557585 1661424 2076780 2215232 2492136 2769040 3115170 3322848 4153560 4430464 4984272 5538080 6230340 6645696 8307120 9968544 11076160 12460680 13291392 16614240 19937088 22152320 24921360 33228480 39874176 49842720 66456960 99685440 199370880