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216245460 = 2235192931211
BaseRepresentation
bin11001110001110…
…10010011010100
3120001220102000010
430320322103110
5420324323320
633242520220
75234025144
oct1470722324
9501812003
10216245460
11101079462
1260506070
1335a547c2
1420a10924
1513eb7ae0
hexce3a4d4

216245460 has 192 divisors, whose sum is σ = 683827200. Its totient is φ = 50803200.

The previous prime is 216245437. The next prime is 216245467. The reversal of 216245460 is 64542612.

216245460 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-2 number, since 2×2162454602 = 93524197941223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216245467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1024755 + ... + 1024965.

It is an arithmetic number, because the mean of its divisors is an integer number (3561600).

Almost surely, 2216245460 is an apocalyptic number.

216245460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216245460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341913600).

216245460 is an abundant number, since it is smaller than the sum of its proper divisors (467581740).

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

216245460 is a wasteful number, since it uses less digits than its factorization.

216245460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 216245460 is about 14705.2868044115. The cubic root of 216245460 is about 600.2271917401.

The spelling of 216245460 in words is "two hundred sixteen million, two hundred forty-five thousand, four hundred sixty".