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22054329049 = 97215312
BaseRepresentation
bin10100100010100010…
…100101101011011001
32002221000002222220211
4110202202211223121
5330131402012144
614044232451121
71410345463264
oct244242455331
962830088824
1022054329049
119398103925
124335b49aa1
13210619495c
1410d3083cdb
158912b1034
hex5228a5ad9

22054329049 has 9 divisors (see below), whose sum is σ = 22298601951. Its totient is φ = 21812708160.

The previous prime is 22054329023. The next prime is 22054329131. The reversal of 22054329049 is 94092345022.

The square root of 22054329049 is 148507.

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., 9903235225 + 12151093824 = 99515^2 + 110232^2 .

It is not a de Polignac number, because 22054329049 - 225 = 22020774617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22054329149) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14404414 + ... + 14405944.

It is an arithmetic number, because the mean of its divisors is an integer number (2477622439).

Almost surely, 222054329049 is an apocalyptic number.

22054329049 is the 148507-th square number.

22054329049 is the 74254-th centered octagonal number.

It is an amenable number.

22054329049 is a deficient number, since it is larger than the sum of its proper divisors (244272902).

22054329049 is an frugal number, since it uses more digits than its factorization.

22054329049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 22054329049 in words is "twenty-two billion, fifty-four million, three hundred twenty-nine thousand, forty-nine".

Divisors: 1 97 1531 9409 148507 2343961 14405179 227364217 22054329049