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214696404 = 223213795807
BaseRepresentation
bin11001100110000…
…00000111010100
3112221222201002200
430303000013110
5414430241104
633145404500
75214614016
oct1463000724
9487881080
10214696404
1110021064a
125ba99730
13356316c0
142072a1b6
1513cadb39
hexccc01d4

214696404 has 72 divisors (see below), whose sum is σ = 591951360. Its totient is φ = 65212992.

The previous prime is 214696397. The next prime is 214696411. The reversal of 214696404 is 404696412.

214696404 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 9 + 640 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (214696397) and next prime (214696411).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 34069 + ... + 39875.

Almost surely, 2214696404 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 214696404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295975680).

214696404 is an abundant number, since it is smaller than the sum of its proper divisors (377254956).

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

214696404 is a wasteful number, since it uses less digits than its factorization.

214696404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 214696404 is about 14652.5221037199. The cubic root of 214696404 is about 598.7905302765.

The spelling of 214696404 in words is "two hundred fourteen million, six hundred ninety-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 234 237 316 468 474 711 948 1027 1422 2054 2844 3081 4108 5807 6162 9243 11614 12324 17421 18486 23228 34842 36972 52263 69684 75491 104526 150982 209052 226473 301964 452946 458753 679419 905892 917506 1358838 1376259 1835012 2717676 2752518 4128777 5505036 5963789 8257554 11927578 16515108 17891367 23855156 35782734 53674101 71565468 107348202 214696404