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21881312 = 2517192973
BaseRepresentation
bin101001101111…
…0000111100000
31112011200111222
41103132013200
521100200222
62100554212
7353662625
oct123360740
945150458
1021881312
1111395832
1273b2968
1346c182b
142c9834c
151dc3542
hex14de1e0

21881312 has 96 divisors (see below), whose sum is σ = 50349600. Its totient is φ = 9289728.

The previous prime is 21881297. The next prime is 21881351. The reversal of 21881312 is 21318812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299708 + ... + 299780.

It is an arithmetic number, because the mean of its divisors is an integer number (524475).

Almost surely, 221881312 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 21881312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25174800).

21881312 is an abundant number, since it is smaller than the sum of its proper divisors (28468288).

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

21881312 is a wasteful number, since it uses less digits than its factorization.

21881312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its digits is 768, while the sum is 26.

The square root of 21881312 is about 4677.7464659812. The cubic root of 21881312 is about 279.6991326082.

Subtracting from 21881312 its reverse (21318812), we obtain a square (562500 = 7502).

The spelling of 21881312 in words is "twenty-one million, eight hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 19 29 32 34 38 58 68 73 76 116 136 146 152 232 272 292 304 323 464 493 544 551 584 608 646 928 986 1102 1168 1241 1292 1387 1972 2117 2204 2336 2482 2584 2774 3944 4234 4408 4964 5168 5548 7888 8468 8816 9367 9928 10336 11096 15776 16936 17632 18734 19856 22192 23579 33872 35989 37468 39712 40223 44384 47158 67744 71978 74936 80446 94316 143956 149872 160892 188632 287912 299744 321784 377264 575824 643568 683791 754528 1151648 1287136 1367582 2735164 5470328 10940656 21881312