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21302292 = 22311217863
BaseRepresentation
bin101000101000…
…0110000010100
31111002021020210
41101100300110
520423133132
62040325420
7346031544
oct121206024
944067223
1021302292
111102a800
127173870
13454b10b
142b87324
151d0bbcc
hex1450c14

21302292 has 72 divisors (see below), whose sum is σ = 57915648. Its totient is φ = 6068480.

The previous prime is 21302291. The next prime is 21302293. The reversal of 21302292 is 29220312.

It is an interprime number because it is at equal distance from previous prime (21302291) and next prime (21302293).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21302291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24253 + ... + 25115.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 221302292 is an apocalyptic number.

21302292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21302292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28957824).

21302292 is an abundant number, since it is smaller than the sum of its proper divisors (36613356).

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

21302292 is a wasteful number, since it uses less digits than its factorization.

21302292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 21302292 is about 4615.4406073527. The cubic root of 21302292 is about 277.2099265783.

The spelling of 21302292 in words is "twenty-one million, three hundred two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 561 726 748 863 1122 1452 1726 2057 2244 2589 3452 4114 5178 6171 8228 9493 10356 12342 14671 18986 24684 28479 29342 37972 44013 56958 58684 88026 104423 113916 161381 176052 208846 313269 322762 417692 484143 626538 645524 968286 1253076 1775191 1936572 3550382 5325573 7100764 10651146 21302292