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22290788601 = 345323132
BaseRepresentation
bin10100110000101000…
…100111000011111001
32010112111001101110000
4110300220213003321
5331122420213401
614123520543213
71416246401604
oct246050470371
963474041400
1022290788601
1194a9629444
1243a1181b09
132143176153
14111663733b
158a6e1d186
hex530a270f9

22290788601 has 45 divisors (see below), whose sum is σ = 34047491709. Its totient is φ = 14533556544.

The previous prime is 22290788593. The next prime is 22290788609. The reversal of 22290788601 is 10688709222.

The square root of 22290788601 is 149301.

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

It is an interprime number because it is at equal distance from previous prime (22290788593) and next prime (22290788609).

It can be written as a sum of positive squares in 4 ways, for example, as 4692113001 + 17598675600 = 68499^2 + 132660^2 .

It is not a de Polignac number, because 22290788601 - 23 = 22290788593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22290788609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 71216421 + ... + 71216733.

Almost surely, 222290788601 is an apocalyptic number.

22290788601 is the 149301-st square number.

22290788601 is the 74651-st centered octagonal number.

It is an amenable number.

22290788601 is a deficient number, since it is larger than the sum of its proper divisors (11756703108).

22290788601 is an frugal number, since it uses more digits than its factorization.

22290788601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 22290788601 in words is "twenty-two billion, two hundred ninety million, seven hundred eighty-eight thousand, six hundred one".

Divisors: 1 3 9 27 53 81 159 313 477 939 1431 2809 2817 4293 8427 8451 16589 25281 25353 49767 75843 97969 149301 227529 293907 447903 879217 881721 1343709 2637651 2645163 5192357 7912953 7935489 15577071 23738859 46731213 71216577 140193639 275194921 420580917 825584763 2476754289 7430262867 22290788601