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90223272050 = 25210723972
BaseRepresentation
bin101010000000110111…
…0011110000001110010
322121212211000002210112
41110001232132001302
52434234124201200
6105240433501322
76342550105322
oct1240156360162
9277784002715
1090223272050
113529975974a
121559b711842
13867b167112
14451c81b282
152530c81535
hex1501b9e072

90223272050 has 54 divisors (see below), whose sum is σ = 169826081607. Its totient is φ = 35661970080.

The previous prime is 90223272001. The next prime is 90223272121. The reversal of 90223272050 is 5027232209.

It can be written as a sum of positive squares in 5 ways, for example, as 47973702841 + 42249569209 = 219029^2 + 205547^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=212395.

It is a super-2 number, since 2×902232720502 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90223271998 and 90223272016.

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, 227262452 + ... + 227262848.

Almost surely, 290223272050 is an apocalyptic number.

90223272050 is a deficient number, since it is larger than the sum of its proper divisors (79602809557).

90223272050 is an equidigital number, since it uses as much as digits as its factorization.

90223272050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

Multiplying 90223272050 by its sum of digits (32), we get a square (2887144705600 = 16991602).

The spelling of 90223272050 in words is "ninety billion, two hundred twenty-three million, two hundred seventy-two thousand, fifty".

Divisors: 1 2 5 10 25 50 107 214 397 535 794 1070 1985 2675 3970 5350 9925 11449 19850 22898 42479 57245 84958 114490 157609 212395 286225 315218 424790 572450 788045 1061975 1576090 2123950 3940225 4545253 7880450 9090506 16864163 22726265 33728326 45452530 84320815 113631325 168641630 227262650 421604075 843208150 1804465441 3608930882 9022327205 18044654410 45111636025 90223272050