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222252352 = 2672831753
BaseRepresentation
bin11010011111101…
…00110101000000
3120111012120220121
431033310311000
5423344033402
634015350024
75336054020
oct1517646500
9514176817
10222252352
11104501533
1262522314
133707898a
1421735a80
15147a2837
hexd3f4d40

222252352 has 56 divisors (see below), whose sum is σ = 506106176. Its totient is φ = 94860288.

The previous prime is 222252347. The next prime is 222252383. The reversal of 222252352 is 253252222.

222252352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2222523522 = 98792215939063808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125908 + ... + 127660.

Almost surely, 2222252352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253053088).

222252352 is an abundant number, since it is smaller than the sum of its proper divisors (283853824).

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

222252352 is a wasteful number, since it uses less digits than its factorization.

222252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2045 counting only the distinct ones).

The product of its digits is 4800, while the sum is 25.

The square root of 222252352 is about 14908.1303992151. The cubic root of 222252352 is about 605.7342377601.

The spelling of 222252352 in words is "two hundred twenty-two million, two hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 283 448 566 1132 1753 1981 2264 3506 3962 4528 7012 7924 9056 12271 14024 15848 18112 24542 28048 31696 49084 56096 63392 98168 112192 126784 196336 392672 496099 785344 992198 1984396 3472693 3968792 6945386 7937584 13890772 15875168 27781544 31750336 55563088 111126176 222252352