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99234450225 = 3252210012
BaseRepresentation
bin101110001101011010…
…1011000101100110001
3100111010211010101101100
41130122311120230301
53111213004401400
6113330534355013
710112056623651
oct1343265305461
9314124111340
1099234450225
11390a3295239
12172954bba69
13948602c301
144b35502361
1528abe1a100
hex171ad58b31

99234450225 has 27 divisors (see below), whose sum is σ = 177748390209. Its totient is φ = 52922520000.

The previous prime is 99234450191. The next prime is 99234450239. The reversal of 99234450225 is 52205443299.

The square root of 99234450225 is 315015.

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

99234450225 is a `hidden beast` number, since 9 + 92 + 34 + 4 + 502 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18344264481 + 80890185744 = 135441^2 + 284412^2 .

It is not a de Polignac number, because 99234450225 - 217 = 99234319153 is a prime.

It is a super-2 number, since 2×992344502252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 26 ways as a sum of consecutive naturals, for example, 4714725 + ... + 4735725.

Almost surely, 299234450225 is an apocalyptic number.

99234450225 is the 315015-th square number.

99234450225 is the 157508-th centered octagonal number.

It is an amenable number.

99234450225 is a deficient number, since it is larger than the sum of its proper divisors (78513939984).

99234450225 is an frugal number, since it uses more digits than its factorization.

99234450225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42018 (or 21009 counting only the distinct ones).

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

The spelling of 99234450225 in words is "ninety-nine billion, two hundred thirty-four million, four hundred fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 21001 63003 105005 189009 315015 525025 945045 1575075 4725225 441042001 1323126003 2205210005 3969378009 6615630015 11026050025 19846890045 33078150075 99234450225