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214311272 = 23725714891
BaseRepresentation
bin11001100011000…
…10000101101000
3112221021010210112
430301202011220
5414330430042
633133233452
75211421130
oct1461420550
9487233715
10214311272
11aaa7825a
125b932888
1335528306
1420669ac0
1513c34982
hexcc62168

214311272 has 32 divisors (see below), whose sum is σ = 461056320. Its totient is φ = 91484160.

The previous prime is 214311271. The next prime is 214311281. The reversal of 214311272 is 272113412.

It is a super-3 number, since 3×2143112723 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (214311271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6947 + ... + 21837.

It is an arithmetic number, because the mean of its divisors is an integer number (14408010).

Almost surely, 2214311272 is an apocalyptic number.

It is an amenable number.

214311272 is an abundant number, since it is smaller than the sum of its proper divisors (246745048).

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

214311272 is a wasteful number, since it uses less digits than its factorization.

214311272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15161 (or 15157 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 214311272 is about 14639.3740303334. The cubic root of 214311272 is about 598.4322702363.

Adding to 214311272 its reverse (272113412), we get a palindrome (486424684).

The spelling of 214311272 in words is "two hundred fourteen million, three hundred eleven thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 257 514 1028 1799 2056 3598 7196 14392 14891 29782 59564 104237 119128 208474 416948 833896 3826987 7653974 15307948 26788909 30615896 53577818 107155636 214311272