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22122131240 = 2351191954709
BaseRepresentation
bin10100100110100101…
…001110111100101000
32010002201200201001002
4110212211032330220
5330301231144430
614055054014132
71412131004306
oct244645167450
963081621032
1022122131240
1194224036a0
1243547a7348
132117243cb1
1410dc093276
15897205845
hex52694ef28

22122131240 has 64 divisors (see below), whose sum is σ = 54359856000. Its totient is φ = 8035511040.

The previous prime is 22122131237. The next prime is 22122131279. The reversal of 22122131240 is 4213122122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 377006 + ... + 431714.

It is an arithmetic number, because the mean of its divisors is an integer number (849372750).

Almost surely, 222122131240 is an apocalyptic number.

22122131240 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 22122131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27179928000).

22122131240 is an abundant number, since it is smaller than the sum of its proper divisors (32237724760).

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

22122131240 is a wasteful number, since it uses less digits than its factorization.

22122131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55650 (or 55646 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22122131240 its reverse (4213122122), we get a palindrome (26335253362).

The spelling of 22122131240 in words is "twenty-two billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 919 1838 3676 4595 7352 9190 10109 18380 20218 36760 40436 50545 54709 80872 101090 109418 202180 218836 273545 404360 437672 547090 601799 1094180 1203598 2188360 2407196 3008995 4814392 6017990 12035980 24071960 50277571 100555142 201110284 251387855 402220568 502775710 553053281 1005551420 1106106562 2011102840 2212213124 2765266405 4424426248 5530532810 11061065620 22122131240