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23220556002 = 232747332
BaseRepresentation
bin10101101000000011…
…011001000011100010
32012221021120110112200
4111220003121003202
5340023430243002
614400053034030
71451266320000
oct255003310342
965837513480
1023220556002
119936442456
124600625916
132260992987
1411a3d01a70
1590d879b1c
hex5680d90e2

23220556002 has 90 divisors (see below), whose sum is σ = 58773094497. Its totient is φ = 6625393488.

The previous prime is 23220555971. The next prime is 23220556019. The reversal of 23220556002 is 20065502232.

23220556002 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 0 + 55 + 600 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14994247401 + 8226308601 = 122451^2 + 90699^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=107751.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31678428 + ... + 31679160.

Almost surely, 223220556002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23220556002

23220556002 is an abundant number, since it is smaller than the sum of its proper divisors (35552538495).

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

23220556002 is an frugal number, since it uses more digits than its factorization.

23220556002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Multiplying 23220556002 by its product of nonzero digits (7200), we get a square (167188003214400 = 129301202).

The spelling of 23220556002 in words is "twenty-three billion, two hundred twenty million, five hundred fifty-six thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 733 882 1029 1466 2058 2199 2401 3087 4398 4802 5131 6174 6597 7203 10262 13194 14406 15393 21609 30786 35917 43218 46179 71834 92358 107751 215502 251419 323253 502838 537289 646506 754257 1074578 1508514 1611867 1759933 2262771 3223734 3519866 3761023 4525542 4835601 5279799 7522046 9671202 10559598 11283069 15839397 22566138 26327161 31678794 33849207 52654322 67698414 78981483 157962966 184290127 236944449 368580254 473888898 552870381 1105740762 1290030889 1658611143 2580061778 3317222286 3870092667 7740185334 11610278001 23220556002