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21912192 = 273223827
BaseRepresentation
bin101001110010…
…1101010000000
31112020020212200
41103211222000
521102142232
62101353200
7354151641
oct123455200
945206780
1021912192
1111406a55
127408800
1347028c3
142ca56c8
151dcc77c
hex14e5a80

21912192 has 96 divisors (see below), whose sum is σ = 65875680. Its totient is φ = 6978048.

The previous prime is 21912181. The next prime is 21912193. The reversal of 21912192 is 29121912.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21912193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26083 + ... + 26909.

It is an arithmetic number, because the mean of its divisors is an integer number (686205).

Almost surely, 221912192 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 21912192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32937840).

21912192 is an abundant number, since it is smaller than the sum of its proper divisors (43963488).

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

21912192 is a wasteful number, since it uses less digits than its factorization.

21912192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 21912192 is about 4681.0460369452. The cubic root of 21912192 is about 279.8306458885.

The spelling of 21912192 in words is "twenty-one million, nine hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 827 828 1104 1152 1472 1654 1656 2208 2481 2944 3308 3312 4416 4962 6616 6624 7443 8832 9924 13232 13248 14886 19021 19848 26464 26496 29772 38042 39696 52928 57063 59544 76084 79392 105856 114126 119088 152168 158784 171189 228252 238176 304336 317568 342378 456504 476352 608672 684756 913008 952704 1217344 1369512 1826016 2434688 2739024 3652032 5478048 7304064 10956096 21912192