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23000513214 = 2376765312517
BaseRepresentation
bin10101011010111011…
…111111101010111110
32012100221112010120210
4111122323333222332
5334101112410324
614322152453250
71442655064560
oct253273775276
965327463523
1023000513214
119833210008
12455a9aa226
13222720b943
1411829c3330
158e93b1d29
hex55aeffabe

23000513214 has 64 divisors (see below), whose sum is σ = 53443247616. Its totient is φ = 6463062144.

The previous prime is 23000513203. The next prime is 23000513219. The reversal of 23000513214 is 41231500032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000513219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1831284 + ... + 1843800.

It is an arithmetic number, because the mean of its divisors is an integer number (835050744).

Almost surely, 223000513214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23000513214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26721623808).

23000513214 is an abundant number, since it is smaller than the sum of its proper divisors (30442734402).

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

23000513214 is a wasteful number, since it uses less digits than its factorization.

23000513214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13249.

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 23000513214 in words is "twenty-three billion, five hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 469 653 938 1306 1407 1959 2814 3918 4571 9142 12517 13713 25034 27426 37551 43751 75102 87502 87619 131253 175238 262506 262857 306257 525714 612514 838639 918771 1677278 1837542 2515917 5031834 5870473 8173601 11740946 16347202 17611419 24520803 35222838 49041606 57215207 114430414 171645621 343291242 547631267 1095262534 1642893801 3285787602 3833418869 7666837738 11500256607 23000513214