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214222896 = 243231371297
BaseRepresentation
bin11001100010011…
…00100000110000
3112221002122120100
430301030200300
5414320113041
633131312400
75210602356
oct1461144060
9487078510
10214222896
11aaa17918
125b8ab700
13354c7014
14206457d6
1513c186b6
hexcc4c830

214222896 has 120 divisors (see below), whose sum is σ = 636082304. Its totient is φ = 67184640.

The previous prime is 214222871. The next prime is 214222907. The reversal of 214222896 is 698222412.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 214222896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164520 + ... + 165816.

Almost surely, 2214222896 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 214222896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318041152).

214222896 is an abundant number, since it is smaller than the sum of its proper divisors (421859408).

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

214222896 is a wasteful number, since it uses less digits than its factorization.

214222896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1370 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 214222896 is about 14636.3552840179. The cubic root of 214222896 is about 598.3499999927.

The spelling of 214222896 in words is "two hundred fourteen million, two hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 37 48 62 72 74 93 111 124 144 148 186 222 248 279 296 333 372 444 496 558 592 666 744 888 1116 1147 1297 1332 1488 1776 2232 2294 2594 2664 3441 3891 4464 4588 5188 5328 6882 7782 9176 10323 10376 11673 13764 15564 18352 20646 20752 23346 27528 31128 40207 41292 46692 47989 55056 62256 80414 82584 93384 95978 120621 143967 160828 165168 186768 191956 241242 287934 321656 361863 383912 431901 482484 575868 643312 723726 767824 863802 964968 1151736 1447452 1487659 1727604 1929936 2303472 2894904 2975318 3455208 4462977 5789808 5950636 6910416 8925954 11901272 13388931 17851908 23802544 26777862 35703816 53555724 71407632 107111448 214222896