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196066464 = 25311216879
BaseRepresentation
bin10111010111110…
…11110010100000
3111122221012121220
423223323302200
5400143111324
631242215040
74600352226
oct1353736240
9448835556
10196066464
11a0746700
12557b4480
133180aa79
141c07ab16
151232db79
hexbafbca0

196066464 has 72 divisors (see below), whose sum is σ = 565750080. Its totient is φ = 59410560.

The previous prime is 196066459. The next prime is 196066489. The reversal of 196066464 is 464660691.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3177 + ... + 20055.

It is an arithmetic number, because the mean of its divisors is an integer number (7857640).

Almost surely, 2196066464 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 196066464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282875040).

196066464 is an abundant number, since it is smaller than the sum of its proper divisors (369683616).

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

196066464 is a wasteful number, since it uses less digits than its factorization.

196066464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16914 (or 16895 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 196066464 is about 14002.3735130870. The cubic root of 196066464 is about 580.9442249726.

The spelling of 196066464 in words is "one hundred ninety-six million, sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 16879 33758 50637 67516 101274 135032 185669 202548 270064 371338 405096 540128 557007 742676 810192 1114014 1485352 1620384 2042359 2228028 2970704 4084718 4456056 5941408 6127077 8169436 8912112 12254154 16338872 17824224 24508308 32677744 49016616 65355488 98033232 196066464