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214374972 = 223715591637
BaseRepresentation
bin11001100011100…
…01101000111100
3112221101101011210
430301301220330
5414334444342
633134444420
75212104630
oct1461615074
9487341153
10214374972
111000110a9
125b963710
133554b2c6
1420684dc0
1513c4879c
hexcc71a3c

214374972 has 48 divisors (see below), whose sum is σ = 572382720. Its totient is φ = 61173312.

The previous prime is 214374971. The next prime is 214375027. The reversal of 214374972 is 279473412.

214374972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214374972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214374971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130138 + ... + 131774.

It is an arithmetic number, because the mean of its divisors is an integer number (11924640).

Almost surely, 2214374972 is an apocalyptic number.

It is an amenable number.

214374972 is an abundant number, since it is smaller than the sum of its proper divisors (358007748).

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

214374972 is a wasteful number, since it uses less digits than its factorization.

214374972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3208 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 214374972 is about 14641.5495081634. The cubic root of 214374972 is about 598.4915552801.

The spelling of 214374972 in words is "two hundred fourteen million, three hundred seventy-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1559 1637 3118 3274 4677 4911 6236 6548 9354 9822 10913 11459 18708 19644 21826 22918 32739 34377 43652 45836 65478 68754 130956 137508 2552083 5104166 7656249 10208332 15312498 17864581 30624996 35729162 53593743 71458324 107187486 214374972