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22249529352 = 2332175792
BaseRepresentation
bin10100101110001011…
…001110000000001000
32010102121102012101200
4110232023032000020
5331031334414402
614115444344200
71415235610341
oct245613160010
963377365350
1022249529352
119488308796
12438b3a5060
13213775b3ab
141110d770c8
158a34bd21c
hex52e2ce008

22249529352 has 36 divisors (see below), whose sum is σ = 60262570095. Its totient is φ = 7416087888.

The previous prime is 22249529339. The next prime is 22249529369. The reversal of 22249529352 is 25392594222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22249529352 is a `hidden beast` number, since 2 + 2 + 249 + 52 + 9 + 352 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11124764676 + 11124764676 = 105474^2 + 105474^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105474.

It is a junction number, because it is equal to n+sod(n) for n = 22249529298 and 22249529307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1256899 + ... + 1274477.

Almost surely, 222249529352 is an apocalyptic number.

It is an amenable number.

22249529352 is an abundant number, since it is smaller than the sum of its proper divisors (38013040743).

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

22249529352 is an frugal number, since it uses more digits than its factorization.

22249529352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35170 (or 17584 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 22249529352 in words is "twenty-two billion, two hundred forty-nine million, five hundred twenty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17579 35158 52737 70316 105474 140632 158211 210948 316422 421896 632844 1265688 309021241 618042482 927063723 1236084964 1854127446 2472169928 2781191169 3708254892 5562382338 7416509784 11124764676 22249529352