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22941040369 = 1326121912
BaseRepresentation
bin10101010111011001…
…000111111011110001
32012012210121121011211
4111113121013323301
5333440401242434
614312230040121
71441333424422
oct252731077361
965183547154
1022941040369
11980268a1a5
124542aa9041
132217ab7900
141178b41649
158e4065464
hex557647ef1

22941040369 has 27 divisors (see below), whose sum is σ = 25388314497. Its totient is φ = 20720138400.

The previous prime is 22941040357. The next prime is 22941040427. The reversal of 22941040369 is 96304014922.

The square root of 22941040369 is 151463.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16132810225 + 6808230144 = 127015^2 + 82512^2 .

It is not a de Polignac number, because 22941040369 - 211 = 22941038321 is a prime.

It is a super-2 number, since 2×229410403692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22941040069) 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, 120110064 + ... + 120110254.

Almost surely, 222941040369 is an apocalyptic number.

22941040369 is the 151463-rd square number.

22941040369 is the 75732-nd centered octagonal number.

It is an amenable number.

22941040369 is a deficient number, since it is larger than the sum of its proper divisors (2447274128).

22941040369 is an frugal number, since it uses more digits than its factorization.

22941040369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 22941040369 in words is "twenty-two billion, nine hundred forty-one million, forty thousand, three hundred sixty-nine".

Divisors: 1 13 61 169 191 793 2483 3721 10309 11651 32279 36481 48373 151463 474253 628849 710711 1969019 2225341 6165289 9239243 28929433 120110159 135745801 376082629 1764695413 22941040369