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253885216 = 2513610301
BaseRepresentation
bin11110010000111…
…11101100100000
3122200201201001011
433020133230200
51004443311331
641105350304
76201663064
oct1710375440
9580651034
10253885216
111203477a2
1271038394
13407a2c50
1425a0baa4
15174503b1
hexf21fb20

253885216 has 24 divisors (see below), whose sum is σ = 538286364. Its totient is φ = 117177600.

The previous prime is 253885189. The next prime is 253885273. The reversal of 253885216 is 612588352.

253885216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 226803600 + 27081616 = 15060^2 + 5204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 304735 + ... + 305566.

Almost surely, 2253885216 is an apocalyptic number.

253885216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

253885216 is an abundant number, since it is smaller than the sum of its proper divisors (284401148).

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

253885216 is a wasteful number, since it uses less digits than its factorization.

253885216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610324 (or 610316 counting only the distinct ones).

The product of its digits is 115200, while the sum is 40.

The square root of 253885216 is about 15933.7759492218. The cubic root of 253885216 is about 633.2071411243.

The spelling of 253885216 in words is "two hundred fifty-three million, eight hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 610301 1220602 2441204 4882408 7933913 9764816 15867826 19529632 31735652 63471304 126942608 253885216