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22134633400 = 23521171141707
BaseRepresentation
bin10100100111010100…
…111011001110111000
32010010121012212210001
4110213110323032320
5330312431232100
614100222002344
71412342164615
oct244724731670
963117185701
1022134633400
119429472760
124358a163b4
132119a00719
1410dd9c950c
15898374d6a
hex52753b3b8

22134633400 has 96 divisors (see below), whose sum is σ = 56932606080. Its totient is φ = 7935536000.

The previous prime is 22134633347. The next prime is 22134633457. The reversal of 22134633400 is 433643122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85347 + ... + 227053.

It is an arithmetic number, because the mean of its divisors is an integer number (593047980).

Almost surely, 222134633400 is an apocalyptic number.

22134633400 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 22134633400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28466303040).

22134633400 is an abundant number, since it is smaller than the sum of its proper divisors (34797972680).

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

22134633400 is a wasteful number, since it uses less digits than its factorization.

22134633400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141805 (or 141796 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The spelling of 22134633400 in words is "twenty-two billion, one hundred thirty-four million, six hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 71 88 100 110 142 200 220 275 284 355 440 550 568 710 781 1100 1420 1562 1775 2200 2840 3124 3550 3905 6248 7100 7810 14200 15620 19525 31240 39050 78100 141707 156200 283414 566828 708535 1133656 1417070 1558777 2834140 3117554 3542675 5668280 6235108 7085350 7793885 10061197 12470216 14170700 15587770 20122394 28341400 31175540 38969425 40244788 50305985 62351080 77938850 80489576 100611970 110673167 155877700 201223940 221346334 251529925 311755400 402447880 442692668 503059850 553365835 885385336 1006119700 1106731670 2012239400 2213463340 2766829175 4426926680 5533658350 11067316700 22134633400