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223789303048921 = 1972759372
BaseRepresentation
bin110010111000100100000001…
…111010011010101011011001
31002100101001022022022011101121
4302320210001322122223121
5213313030443040031141
62111543215254445241
765065146356661331
oct6270440172325331
91070331268264347
10223789303048921
116534056843a115
1221123a48963821
1397b4318b4c30c
143d396625980c1
151ad14177ce1d1
hexcb8901e9aad9

223789303048921 has 9 divisors (see below), whose sum is σ = 224934017900349. Its totient is φ = 222650384659584.

The previous prime is 223789303048897. The next prime is 223789303049017. The reversal of 223789303048921 is 129840303987322.

The square root of 223789303048921 is 14959589.

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 125569707112521 + 98219595936400 = 11205789^2 + 9910580^2 .

It is not a de Polignac number, because 223789303048921 - 219 = 223789302524633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 223789303048921.

It is not an unprimeable number, because it can be changed into a prime (223789303348921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2947001065 + ... + 2947077001.

Almost surely, 2223789303048921 is an apocalyptic number.

223789303048921 is the 14959589-th square number.

223789303048921 is the 7479795-th centered octagonal number.

It is an amenable number.

223789303048921 is a deficient number, since it is larger than the sum of its proper divisors (1144714851428).

223789303048921 is an frugal number, since it uses more digits than its factorization.

223789303048921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152268 (or 76134 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 223789303048921 in words is "two hundred twenty-three trillion, seven hundred eighty-nine billion, three hundred three million, forty-eight thousand, nine hundred twenty-one".

Divisors: 1 197 38809 75937 14959589 2947039033 5766427969 1135986309893 223789303048921