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21997536 = 2531137563
BaseRepresentation
bin101001111101…
…0011111100000
31112101120221120
41103322133200
521112410121
62103252240
7354655521
oct123723740
945346846
1021997536
1111465090
12744a080
1347326c2
142cc8848
151de7bc6
hex14fa7e0

21997536 has 96 divisors (see below), whose sum is σ = 64810368. Its totient is φ = 6474240.

The previous prime is 21997531. The next prime is 21997567. The reversal of 21997536 is 63579912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21997531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38791 + ... + 39353.

It is an arithmetic number, because the mean of its divisors is an integer number (675108).

Almost surely, 221997536 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 21997536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32405184).

21997536 is an abundant number, since it is smaller than the sum of its proper divisors (42812832).

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

21997536 is a wasteful number, since it uses less digits than its factorization.

21997536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 616 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 21997536 is about 4690.1530891859. The cubic root of 21997536 is about 280.1934717281.

The spelling of 21997536 in words is "twenty-one million, nine hundred ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 563 592 814 888 1056 1126 1184 1221 1628 1689 1776 2252 2442 3256 3378 3552 4504 4884 6193 6512 6756 9008 9768 12386 13024 13512 18016 18579 19536 20831 24772 27024 37158 39072 41662 49544 54048 62493 74316 83324 99088 124986 148632 166648 198176 229141 249972 297264 333296 458282 499944 594528 666592 687423 916564 999888 1374846 1833128 1999776 2749692 3666256 5499384 7332512 10998768 21997536