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21973116 = 22311237409
BaseRepresentation
bin101001111010…
…0100001111100
31112100100110010
41103310201330
521111114431
62102543220
7354524364
oct123644174
945310403
1021973116
1111448800
127437b10
134724559
142cbd9a4
151de0846
hex14f487c

21973116 has 72 divisors (see below), whose sum is σ = 58019920. Its totient is φ = 6462720.

The previous prime is 21973103. The next prime is 21973157. The reversal of 21973116 is 61137912.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53520 + ... + 53928.

Almost surely, 221973116 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 21973116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29009960).

21973116 is an abundant number, since it is smaller than the sum of its proper divisors (36046804).

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

21973116 is a wasteful number, since it uses less digits than its factorization.

21973116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 21973116 is about 4687.5490397435. The cubic root of 21973116 is about 280.0897501403.

The spelling of 21973116 in words is "twenty-one million, nine hundred seventy-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 409 444 484 726 814 818 1221 1227 1452 1628 1636 2442 2454 4477 4499 4884 4908 8954 8998 13431 13497 15133 17908 17996 26862 26994 30266 45399 49489 53724 53988 60532 90798 98978 148467 166463 181596 197956 296934 332926 499389 593868 665852 998778 1831093 1997556 3662186 5493279 7324372 10986558 21973116