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216470464 = 2672711783
BaseRepresentation
bin11001110011100…
…01001111000000
3120002022211122121
430321301033000
5420404023324
633251414024
75235653140
oct1471611700
9502284577
10216470464
11101212511
12605b4314
1335b03042
1420a6c920
151400e5e4
hexce713c0

216470464 has 56 divisors (see below), whose sum is σ = 493011968. Its totient is φ = 92378880.

The previous prime is 216470459. The next prime is 216470473. The reversal of 216470464 is 464074612.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120517 + ... + 122299.

Almost surely, 2216470464 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 216470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246505984).

216470464 is an abundant number, since it is smaller than the sum of its proper divisors (276541504).

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

216470464 is a wasteful number, since it uses less digits than its factorization.

216470464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 216470464 is about 14712.9352611911. The cubic root of 216470464 is about 600.4352989298.

The spelling of 216470464 in words is "two hundred sixteen million, four hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 271 448 542 1084 1783 1897 2168 3566 3794 4336 7132 7588 8672 12481 14264 15176 17344 24962 28528 30352 49924 57056 60704 99848 114112 121408 199696 399392 483193 798784 966386 1932772 3382351 3865544 6764702 7731088 13529404 15462176 27058808 30924352 54117616 108235232 216470464