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22303331649 = 326727432
BaseRepresentation
bin10100110001011000…
…011101010101000001
32010120100122122021100
4110301120131111001
5331134123103044
614125045445013
71416461122344
oct246130352501
963510578240
1022303331649
1195057161a5
1243a5410769
132145948381
14111818045b
158a8099869
hex53161d541

22303331649 has 27 divisors (see below), whose sum is σ = 32748010113. Its totient is φ = 14627250792.

The previous prime is 22303331627. The next prime is 22303331663. The reversal of 22303331649 is 94613330322.

The square root of 22303331649 is 149343.

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

22303331649 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 3 + 3 + 3 + 1 + 649 = 666.

It is not a de Polignac number, because 22303331649 - 27 = 22303331521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22303351649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30017572 + ... + 30018314.

Almost surely, 222303331649 is an apocalyptic number.

22303331649 is the 149343-rd square number.

22303331649 is the 74672-nd centered octagonal number.

It is an amenable number.

22303331649 is a deficient number, since it is larger than the sum of its proper divisors (10444678464).

22303331649 is an frugal number, since it uses more digits than its factorization.

22303331649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Multiplying 22303331649 by its sum of digits (36), we get a square (802919939364 = 8960582).

The spelling of 22303331649 in words is "twenty-two billion, three hundred three million, three hundred thirty-one thousand, six hundred forty-nine".

Divisors: 1 3 9 67 201 603 743 2229 4489 6687 13467 40401 49781 149343 448029 552049 1656147 3335327 4968441 10005981 30017943 36987283 110961849 332885547 2478147961 7434443883 22303331649