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22277950564 = 2237220172
BaseRepresentation
bin10100101111110111…
…101000110001100100
32010111120220010222011
4110233313220301210
5331111123404224
614122341444004
71416032312122
oct245767506144
963446803864
1022277950564
1194a235aaa1
124398a10604
1321405cc88c
141114a54912
158a5c34394
hex52fde8c64

22277950564 has 27 divisors (see below), whose sum is σ = 40088453643. Its totient is φ = 10832548608.

The previous prime is 22277950553. The next prime is 22277950571. The reversal of 22277950564 is 46505977222.

It is a happy number.

The square root of 22277950564 is 149258.

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 12285948964 + 9992001600 = 110842^2 + 99960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11044084 + ... + 11046100.

Almost surely, 222277950564 is an apocalyptic number.

22277950564 is the 149258-th square number.

It is an amenable number.

22277950564 is a deficient number, since it is larger than the sum of its proper divisors (17810503079).

22277950564 is an frugal number, since it uses more digits than its factorization.

22277950564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

Multiplying 22277950564 by its sum of digits (49), we get a square (1091619577636 = 10448062).

The spelling of 22277950564 in words is "twenty-two billion, two hundred seventy-seven million, nine hundred fifty thousand, five hundred sixty-four".

Divisors: 1 2 4 37 74 148 1369 2017 2738 4034 5476 8068 74629 149258 298516 2761273 4068289 5522546 8136578 11045092 16273156 150526693 301053386 602106772 5569487641 11138975282 22277950564