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22548325921 = 114172732
BaseRepresentation
bin10100111111111111…
…000010011000100001
32011012102122122020021
4110333333002120201
5332134332412141
614205240513441
71425524415352
oct247777023041
964172578207
1022548325921
119620a40000
12445347b881
1321846274b4
14113c915d29
158be8406d1
hex53ffc2621

22548325921 has 45 divisors (see below), whose sum is σ = 26713701705. Its totient is φ = 19028401920.

The previous prime is 22548325903. The next prime is 22548325951. The reversal of 22548325921 is 12952384522.

The square root of 22548325921 is 150161.

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 2847396321 + 19700929600 = 53361^2 + 140360^2 .

It is not a de Polignac number, because 22548325921 - 215 = 22548293153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22548325901) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 308881141 + ... + 308881213.

Almost surely, 222548325921 is an apocalyptic number.

22548325921 is the 150161-st square number.

22548325921 is the 75081-st centered octagonal number.

It is an amenable number.

22548325921 is a deficient number, since it is larger than the sum of its proper divisors (4165375784).

22548325921 is an frugal number, since it uses more digits than its factorization.

22548325921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 101 counting only the distinct ones).

The product of its digits is 345600, while the sum is 43.

The spelling of 22548325921 in words is "twenty-two billion, five hundred forty-eight million, three hundred twenty-five thousand, nine hundred twenty-one".

Divisors: 1 11 17 73 121 187 289 803 1241 1331 2057 3179 5329 8833 13651 14641 21097 22627 34969 58619 90593 97163 150161 232067 248897 384659 644809 996523 1068793 1540081 1651771 2552737 4231249 7092899 10961753 16940891 18169481 28080107 78021889 120579283 186349801 308881177 1326372113 2049847811 22548325921