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23000332014 = 232113128313241
BaseRepresentation
bin10101011010111011…
…010011011011101110
32012100221011221000200
4111122323103123232
5334101041111024
614322144534330
71442653411362
oct253273233356
965327157020
1023000332014
1198330a6960
12455a9213a6
13222717731a
1411829772a2
158e93782c9
hex55aed36ee

23000332014 has 96 divisors (see below), whose sum is σ = 56320662528. Its totient is φ = 6720624000.

The previous prime is 23000332007. The next prime is 23000332021. The reversal of 23000332014 is 41023300032.

It is an interprime number because it is at equal distance from previous prime (23000332007) and next prime (23000332021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1730434 + ... + 1743674.

It is an arithmetic number, because the mean of its divisors is an integer number (586673568).

Almost surely, 223000332014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23000332014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28160331264).

23000332014 is an abundant number, since it is smaller than the sum of its proper divisors (33320330514).

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

23000332014 is a wasteful number, since it uses less digits than its factorization.

23000332014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13574 (or 13571 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23000332014 its reverse (41023300032), we get a palindrome (64023632046).

The spelling of 23000332014 in words is "twenty-three billion, three hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 283 341 558 566 682 849 1023 1698 2046 2547 3069 3113 5094 6138 6226 8773 9339 13241 17546 18678 26319 26482 28017 39723 52638 56034 78957 79446 96503 119169 145651 157914 193006 238338 289509 291302 410471 436953 579018 820942 868527 873906 1231413 1310859 1737054 2462826 2621718 3694239 3747203 4515181 7388478 7494406 9030362 11241609 13545543 22483218 27091086 33724827 40636629 41219233 67449654 81273258 82438466 116163293 123657699 232326586 247315398 348489879 370973097 696979758 741946194 1045469637 1277796223 2090939274 2555592446 3833388669 7666777338 11500166007 23000332014