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22073044900 = 22528321792
BaseRepresentation
bin10100100011101001…
…111110111110100100
32002222022022212020111
4110203221332332210
5330201144414100
614050141542404
71410663533404
oct244351767644
962868285214
1022073044900
1193a7727375
124340274a04
13210a01871a
1410d5756804
15892c5b6ba
hex523a7efa4

22073044900 has 81 divisors (see below), whose sum is σ = 48754916161. Its totient is φ = 8674110880.

The previous prime is 22073044853. The next prime is 22073044927. The reversal of 22073044900 is 944037022.

The square root of 22073044900 is 148570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7946296164 + 14126748736 = 89142^2 + 118856^2 .

It is a super-2 number, since 2×220730449002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 123313011 + ... + 123313189.

Almost surely, 222073044900 is an apocalyptic number.

22073044900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22073044900 is the 148570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22073044900

22073044900 is an abundant number, since it is smaller than the sum of its proper divisors (26681871261).

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

22073044900 is an equidigital number, since it uses as much as digits as its factorization.

22073044900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 22073044900 in words is "twenty-two billion, seventy-three million, forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 179 332 358 415 716 830 895 1660 1790 2075 3580 4150 4475 6889 8300 8950 13778 14857 17900 27556 29714 32041 34445 59428 64082 68890 74285 128164 137780 148570 160205 172225 297140 320410 344450 371425 640820 688900 742850 801025 1233131 1485700 1602050 2466262 2659403 3204100 4932524 5318806 6165655 10637612 12331310 13297015 24662620 26594030 30828275 53188060 61656550 66485075 123313100 132970150 220730449 265940300 441460898 882921796 1103652245 2207304490 4414608980 5518261225 11036522450 22073044900