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214155240 = 233513137279
BaseRepresentation
bin11001100001110…
…11111111101000
3112220222012202120
430300323333220
5414310431430
633130031240
75210201205
oct1460737750
9486865676
10214155240
11aa981002
125b878520
13354a22a0
1420628cac
1513c03610
hexcc3bfe8

214155240 has 64 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 52714752.

The previous prime is 214155229. The next prime is 214155247. The reversal of 214155240 is 42551412.

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 214155240.

It is not an unprimeable number, because it can be changed into a prime (214155247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67080 + ... + 70199.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2214155240 is an apocalyptic number.

214155240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214155240 is an abundant number, since it is smaller than the sum of its proper divisors (477735960).

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

214155240 is a wasteful number, since it uses less digits than its factorization.

214155240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137306 (or 137302 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 214155240 is about 14634.0438703729. The cubic root of 214155240 is about 598.2870029449.

The spelling of 214155240 in words is "two hundred fourteen million, one hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 137279 274558 411837 549116 686395 823674 1098232 1372790 1647348 1784627 2059185 2745580 3294696 3569254 4118370 5353881 5491160 7138508 8236740 8923135 10707762 14277016 16473480 17846270 21415524 26769405 35692540 42831048 53538810 71385080 107077620 214155240