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22729180644 = 2232251272
BaseRepresentation
bin10101001010110000…
…111100010111100100
32011200000222000021100
4111022300330113210
5333022132240034
614235221120100
71433151563532
oct251260742744
964600860240
1022729180644
119704036915
1244a3b59030
1321b2c3a421
141158953152
158d0667099
hex54ac3c5e4

22729180644 has 27 divisors (see below), whose sum is σ = 57456604387. Its totient is φ = 7576092024.

The previous prime is 22729180603. The next prime is 22729180651. The reversal of 22729180644 is 44608192722.

The square root of 22729180644 is 150762.

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

22729180644 is a `hidden beast` number, since 227 + 291 + 80 + 64 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22729180644.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 892009 + ... + 917135.

Almost surely, 222729180644 is an apocalyptic number.

22729180644 is the 150762-nd square number.

It is an amenable number.

22729180644 is an abundant number, since it is smaller than the sum of its proper divisors (34727423743).

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

22729180644 is an frugal number, since it uses more digits than its factorization.

22729180644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50264 (or 25132 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 22729180644 in words is "twenty-two billion, seven hundred twenty-nine million, one hundred eighty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 25127 50254 75381 100508 150762 226143 301524 452286 904572 631366129 1262732258 1894098387 2525464516 3788196774 5682295161 7576393548 11364590322 22729180644