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21294623220 = 22351331387223
BaseRepresentation
bin10011110101010000…
…100010100111110100
32000222001120221102220
4103311100202213310
5322102410420340
613441013402340
71352462211423
oct236520424764
960861527386
1021294623220
119038294672
1241636393b0
13201497c490
1410602072ba
15849747ed0
hex4f54229f4

21294623220 has 96 divisors (see below), whose sum is σ = 64417366272. Its totient is φ = 5224946688.

The previous prime is 21294623171. The next prime is 21294623221. The reversal of 21294623220 is 2232649212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21294623221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200529 + ... + 287751.

It is an arithmetic number, because the mean of its divisors is an integer number (671014232).

Almost surely, 221294623220 is an apocalyptic number.

21294623220 is a gapful number since it is divisible by the number (20) 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 21294623220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32208683136).

21294623220 is an abundant number, since it is smaller than the sum of its proper divisors (43122743052).

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

21294623220 is a wasteful number, since it uses less digits than its factorization.

21294623220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87561 (or 87559 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 21294623220 in words is "twenty-one billion, two hundred ninety-four million, six hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 313 390 626 780 939 1252 1565 1878 3130 3756 4069 4695 6260 8138 9390 12207 16276 18780 20345 24414 40690 48828 61035 81380 87223 122070 174446 244140 261669 348892 436115 523338 872230 1046676 1133899 1308345 1744460 2267798 2616690 3401697 4535596 5233380 5669495 6803394 11338990 13606788 17008485 22677980 27300799 34016970 54601598 68033940 81902397 109203196 136503995 163804794 273007990 327609588 354910387 409511985 546015980 709820774 819023970 1064731161 1419641548 1638047940 1774551935 2129462322 3549103870 4258924644 5323655805 7098207740 10647311610 21294623220