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21294835224 = 23313647105491
BaseRepresentation
bin10011110101010001…
…010110011000011000
32000222001222201020220
4103311101112120120
5322102434211344
613441022120040
71352464053465
oct236521263030
960861881226
1021294835224
119038419983
124163720020
132014a24b20
14106026066c
1584978ac19
hex4f5456618

21294835224 has 64 divisors (see below), whose sum is σ = 57421405440. Its totient is φ = 6542067840.

The previous prime is 21294835117. The next prime is 21294835259. The reversal of 21294835224 is 42253849212.

It is a super-2 number, since 2×212948352242 (a number of 21 digits) contains 22 as substring.

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, 149119 + ... + 254609.

It is an arithmetic number, because the mean of its divisors is an integer number (897209460).

Almost surely, 221294835224 is an apocalyptic number.

21294835224 is a gapful number since it is divisible by the number (24) 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 21294835224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28710702720).

21294835224 is an abundant number, since it is smaller than the sum of its proper divisors (36126570216).

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

21294835224 is a wasteful number, since it uses less digits than its factorization.

21294835224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106160 (or 106156 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 21294835224 in words is "twenty-one billion, two hundred ninety-four million, eight hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 647 1294 1941 2588 3882 5176 7764 8411 15528 16822 25233 33644 50466 67288 100932 105491 201864 210982 316473 421964 632946 843928 1265892 1371383 2531784 2742766 4114149 5485532 8228298 10971064 16456596 32913192 68252677 136505354 204758031 273010708 409516062 546021416 819032124 887284801 1638064248 1774569602 2661854403 3549139204 5323708806 7098278408 10647417612 21294835224