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214154160 = 24351181119
BaseRepresentation
bin11001100001110…
…11101110110000
3112220222011021120
430300323232300
5414310413120
633130022240
75210165103
oct1460735660
9486864246
10214154160
11aa980210
125b877980
13354a194c
142062873a
1513c03140
hexcc3bbb0

214154160 has 80 divisors (see below), whose sum is σ = 724239360. Its totient is φ = 51915520.

The previous prime is 214154119. The next prime is 214154189. The reversal of 214154160 is 61451412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214154160.

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, 37920 + ... + 43199.

It is an arithmetic number, because the mean of its divisors is an integer number (9052992).

Almost surely, 2214154160 is an apocalyptic number.

214154160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214154160 is an abundant number, since it is smaller than the sum of its proper divisors (510085200).

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

214154160 is a wasteful number, since it uses less digits than its factorization.

214154160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81146 (or 81140 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 214154160 is about 14634.0069700680. The cubic root of 214154160 is about 598.2859972087.

The spelling of 214154160 in words is "two hundred fourteen million, one hundred fifty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 81119 162238 243357 324476 405595 486714 648952 811190 892309 973428 1216785 1297904 1622380 1784618 1946856 2433570 2676927 3244760 3569236 3893712 4461545 4867140 5353854 6489520 7138472 8923090 9734280 10707708 13384635 14276944 17846180 19468560 21415416 26769270 35692360 42830832 53538540 71384720 107077080 214154160