Search a number
-
+
214639392 = 25311439463
BaseRepresentation
bin11001100101100…
…10001100100000
3112221212210220010
430302302030200
5414421430032
633144244520
75214255552
oct1462621440
9487783803
10214639392
11100181830
125ba70740
1335611776
14207134d2
1513c9bccc
hexccb2320

214639392 has 96 divisors (see below), whose sum is σ = 617379840. Its totient is φ = 64753920.

The previous prime is 214639363. The next prime is 214639423. The reversal of 214639392 is 293936412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 214639392.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 463353 + ... + 463815.

It is an arithmetic number, because the mean of its divisors is an integer number (6431040).

Almost surely, 2214639392 is an apocalyptic number.

214639392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214639392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308689920).

214639392 is an abundant number, since it is smaller than the sum of its proper divisors (402740448).

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

214639392 is a wasteful number, since it uses less digits than its factorization.

214639392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 918 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 214639392 is about 14650.5765074280. The cubic root of 214639392 is about 598.7375232283.

The spelling of 214639392 in words is "two hundred fourteen million, six hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 439 463 528 878 926 1056 1317 1389 1756 1852 2634 2778 3512 3704 4829 5093 5268 5556 7024 7408 9658 10186 10536 11112 14048 14487 14816 15279 19316 20372 21072 22224 28974 30558 38632 40744 42144 44448 57948 61116 77264 81488 115896 122232 154528 162976 203257 231792 244464 406514 463584 488928 609771 813028 1219542 1626056 2235827 2439084 3252112 4471654 4878168 6504224 6707481 8943308 9756336 13414962 17886616 19512672 26829924 35773232 53659848 71546464 107319696 214639392