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223263263250 = 23353313728837
BaseRepresentation
bin1100111111101110000…
…1110000101000010010
3210100021121012220101000
43033323201300220102
512124220343411000
6250322110322430
722062446265636
oct3177341605022
9710247186330
10223263263250
118675a3231a5
123732a4b9416
1318090ab59c1
14ab3d93cdc6
155c1a938000
hex33fb870a12

223263263250 has 256 divisors, whose sum is σ = 656454389760. Its totient is φ = 56057184000.

The previous prime is 223263263243. The next prime is 223263263263. The reversal of 223263263250 is 52362362322.

223263263250 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 6 + 326 + 325 + 0 = 666.

223263263250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232632632503 (a number of 35 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 7727832 + ... + 7756668.

It is an arithmetic number, because the mean of its divisors is an integer number (2564274960).

Almost surely, 2223263263250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223263263250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328227194880).

223263263250 is an abundant number, since it is smaller than the sum of its proper divisors (433191126510).

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

223263263250 is a wasteful number, since it uses less digits than its factorization.

223263263250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28931 (or 28915 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 223263263250 in words is "two hundred twenty-three billion, two hundred sixty-three million, two hundred sixty-three thousand, two hundred fifty".