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228901962969 = 32101215792
BaseRepresentation
bin1101010100101110011…
…1101100010011011001
3210212211120102112020100
43111023213230103121
512222242400303334
6253053415250013
722352255403501
oct3251347542331
9725746375210
10228901962969
1189093210809
1238442979909
131877c06cc04
14b11677ca01
155e4a9a3c99
hex354b9ec4d9

228901962969 has 27 divisors (see below), whose sum is σ = 334153829919. Its totient is φ = 150994717200.

The previous prime is 228901962941. The next prime is 228901962983. The reversal of 228901962969 is 969269109822.

The square root of 228901962969 is 478437.

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., 219926295369 + 8975667600 = 468963^2 + 94740^2 .

It is not a de Polignac number, because 228901962969 - 25 = 228901962937 is a prime.

It is a super-2 number, since 2×2289019629692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228901962169) 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, 144965622 + ... + 144967200.

Almost surely, 2228901962969 is an apocalyptic number.

228901962969 is the 478437-th square number.

228901962969 is the 239219-th centered octagonal number.

It is an amenable number.

228901962969 is a deficient number, since it is larger than the sum of its proper divisors (105251866950).

228901962969 is an frugal number, since it uses more digits than its factorization.

228901962969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 228901962969 in words is "two hundred twenty-eight billion, nine hundred one million, nine hundred sixty-two thousand, nine hundred sixty-nine".

Divisors: 1 3 9 101 303 909 1579 4737 10201 14211 30603 91809 159479 478437 1435311 2493241 7479723 16107379 22439169 48322137 144966411 251817341 755452023 2266356069 25433551441 76300654323 228901962969