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214107392 = 281097673
BaseRepresentation
bin11001100001100…
…00010100000000
3112220212210010102
430300300110000
5414302414032
633125021532
75206611542
oct1460602400
9486783112
10214107392
11aa949064
125b8548a8
1335486585
1420615692
1513be4362
hexcc30500

214107392 has 36 divisors (see below), whose sum is σ = 431355540. Its totient is φ = 106057728.

The previous prime is 214107379. The next prime is 214107403. The reversal of 214107392 is 293701412.

It can be written as a sum of positive squares in 2 ways, for example, as 142468096 + 71639296 = 11936^2 + 8464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24068 + ... + 31740.

Almost surely, 2214107392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214107392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215677770).

214107392 is an abundant number, since it is smaller than the sum of its proper divisors (217248148).

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

214107392 is an equidigital number, since it uses as much as digits as its factorization.

214107392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7798 (or 7784 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 214107392 is about 14632.4089609333. The cubic root of 214107392 is about 598.2424418611.

The spelling of 214107392 in words is "two hundred fourteen million, one hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 872 1744 3488 6976 7673 13952 15346 27904 30692 61384 122768 245536 491072 836357 982144 1672714 1964288 3345428 6690856 13381712 26763424 53526848 107053696 214107392