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214122324 = 223132195557
BaseRepresentation
bin11001100001100…
…11111101010100
3112220220112121110
430300303331110
5414303403244
633125215020
75210003223
oct1460637524
9486815543
10214122324
11aa9592a9
125b861470
1335490300
142061acba
1513be89b9
hexcc33f54

214122324 has 72 divisors (see below), whose sum is σ = 569583840. Its totient is φ = 62404992.

The previous prime is 214122317. The next prime is 214122331. The reversal of 214122324 is 423221412.

It is an interprime number because it is at equal distance from previous prime (214122317) and next prime (214122331).

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 214122324.

It is a congruent number.

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, 35754 + ... + 41310.

Almost surely, 2214122324 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 214122324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284791920).

214122324 is an abundant number, since it is smaller than the sum of its proper divisors (355461516).

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

214122324 is a wasteful number, since it uses less digits than its factorization.

214122324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5609 (or 5594 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 214122324 is about 14632.9191892800. The cubic root of 214122324 is about 598.2563488206.

Adding to 214122324 its reverse (423221412), we get a palindrome (637343736).

The spelling of 214122324 in words is "two hundred fourteen million, one hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 228 247 338 494 507 676 741 988 1014 1482 2028 2964 3211 5557 6422 9633 11114 12844 16671 19266 22228 33342 38532 66684 72241 105583 144482 211166 216723 288964 316749 422332 433446 633498 866892 939133 1266996 1372579 1878266 2745158 2817399 3756532 4117737 5490316 5634798 8235474 11269596 16470948 17843527 35687054 53530581 71374108 107061162 214122324