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199372095 = 325133761151
BaseRepresentation
bin10111110001000…
…10110100111111
3111220011011002200
423320202310333
5402014401340
631441122543
74640430516
oct1370426477
9456134080
10199372095
11a25a422a
1256929453
13323c7570
141c69b67d
1512783330
hexbe22d3f

199372095 has 96 divisors (see below), whose sum is σ = 391058304. Its totient is φ = 93312000.

The previous prime is 199372079. The next prime is 199372109. The reversal of 199372095 is 590273991.

It is a happy number.

199372095 is a `hidden beast` number, since 199 + 372 + 0 + 95 = 666.

It is not a de Polignac number, because 199372095 - 24 = 199372079 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 199372095.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1320270 + ... + 1320420.

It is an arithmetic number, because the mean of its divisors is an integer number (4073524).

Almost surely, 2199372095 is an apocalyptic number.

199372095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

199372095 is a deficient number, since it is larger than the sum of its proper divisors (191686209).

199372095 is a wasteful number, since it uses less digits than its factorization.

199372095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 199372095 is about 14119.9183779511. The cubic root of 199372095 is about 584.1909042722.

It can be divided in two parts, 1993 and 72095, that added together give a cube (74088 = 423).

The spelling of 199372095 in words is "one hundred ninety-nine million, three hundred seventy-two thousand, ninety-five".

Divisors: 1 3 5 9 13 15 37 39 45 61 65 111 117 151 183 185 195 305 333 453 481 549 555 585 755 793 915 1359 1443 1665 1963 2257 2265 2379 2405 2745 3965 4329 5587 5889 6771 6795 7137 7215 9211 9815 11285 11895 16761 17667 20313 21645 27633 27935 29341 29445 33855 35685 46055 50283 72631 82899 83805 88023 88335 101565 119743 138165 146705 217893 251415 264069 340807 359229 363155 414495 440115 598715 653679 1022421 1077687 1089465 1320345 1704035 1796145 3067263 3268395 4430491 5112105 5388435 13291473 15336315 22152455 39874419 66457365 199372095