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22124332100 = 225213179711031
BaseRepresentation
bin10100100110101101…
…101000010001000100
32010002212211112001102
4110212231220101010
5330302312111400
614055213115232
71412155501643
oct244655502104
963085745042
1022124332100
119423677192
124355488b18
132117834990
1410dc4a735a
158974dc9d5
hex526b68444

22124332100 has 144 divisors (see below), whose sum is σ = 54853739136. Its totient is φ = 7673088000.

The previous prime is 22124332079. The next prime is 22124332133. The reversal of 22124332100 is 123342122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21458585 + ... + 21459615.

It is an arithmetic number, because the mean of its divisors is an integer number (380928744).

Almost surely, 222124332100 is an apocalyptic number.

22124332100 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 22124332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426869568).

22124332100 is an abundant number, since it is smaller than the sum of its proper divisors (32729407036).

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

22124332100 is a wasteful number, since it uses less digits than its factorization.

22124332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22124332100 its reverse (123342122), we get a palindrome (22247674222).

The spelling of 22124332100 in words is "twenty-two billion, one hundred twenty-four million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 971 1031 1105 1300 1700 1942 2062 2210 3884 4124 4420 4855 5155 5525 9710 10310 11050 12623 13403 16507 17527 19420 20620 22100 24275 25246 25775 26806 33014 35054 48550 50492 51550 53612 63115 66028 67015 70108 82535 87635 97100 103100 126230 134030 165070 175270 214591 227851 252460 268060 315575 330140 335075 350540 412675 429182 438175 455702 631150 670150 825350 858364 876350 911404 1001101 1072955 1139255 1262300 1340300 1650700 1752700 2002202 2145910 2278510 4004404 4291820 4557020 5005505 5364775 5696275 10011010 10729550 11392550 13014313 17018717 20022020 21459100 22785100 25027525 26028626 34037434 50055050 52057252 65071565 68074868 85093585 100110100 130143130 170187170 221243321 260286260 325357825 340374340 425467925 442486642 650715650 850935850 884973284 1106216605 1301431300 1701871700 2212433210 4424866420 5531083025 11062166050 22124332100