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22152530500 = 22532315112757
BaseRepresentation
bin10100101000011001…
…001100101001000100
32010011211220010222121
4110220121030221010
5330332021434000
614102101335324
71412650255012
oct245031145104
963154803877
1022152530500
119438587051
124362a07544
132120628919
1411021278b2
15899c0cb1a
hex52864ca44

22152530500 has 96 divisors (see below), whose sum is σ = 50822972928. Its totient is φ = 8418960000.

The previous prime is 22152530473. The next prime is 22152530507. The reversal of 22152530500 is 503525122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22152530507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1730122 + ... + 1742878.

It is an arithmetic number, because the mean of its divisors is an integer number (529405968).

Almost surely, 222152530500 is an apocalyptic number.

22152530500 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 22152530500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25411486464).

22152530500 is an abundant number, since it is smaller than the sum of its proper divisors (28670442428).

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

22152530500 is a wasteful number, since it uses less digits than its factorization.

22152530500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12950 (or 12938 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 22152530500 in words is "twenty-two billion, one hundred fifty-two million, five hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 151 230 250 302 460 500 575 604 755 1150 1510 2300 2875 3020 3473 3775 5750 6946 7550 11500 12757 13892 15100 17365 18875 25514 34730 37750 51028 63785 69460 75500 86825 127570 173650 255140 293411 318925 347300 434125 586822 637850 868250 1173644 1275700 1467055 1594625 1736500 1926307 2934110 3189250 3852614 5868220 6378500 7335275 7705228 9631535 14670550 19263070 29341100 36676375 38526140 44305061 48157675 73352750 88610122 96315350 146705500 177220244 192630700 221525305 240788375 443050610 481576750 886101220 963153500 1107626525 2215253050 4430506100 5538132625 11076265250 22152530500