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770100224 = 2102273313
BaseRepresentation
bin101101111001101…
…100110000000000
31222200002010220112
4231321230300000
53034121201344
6204225530452
725040513105
oct5571546000
91880063815
10770100224
11365779773
12195aa3a28
13c371470a
14743c4aac
154791cc9e
hex2de6cc00

770100224 has 44 divisors (see below), whose sum is σ = 1546696824. Its totient is φ = 383238144.

The previous prime is 770100209. The next prime is 770100263. The reversal of 770100224 is 422001077.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 770100224.

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 3 ways as a sum of consecutive naturals, for example, 230792 + ... + 234104.

Almost surely, 2770100224 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 770100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773348412).

770100224 is an abundant number, since it is smaller than the sum of its proper divisors (776596600).

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

770100224 is a wasteful number, since it uses less digits than its factorization.

770100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 770100224 is about 27750.6797033874. The cubic root of 770100224 is about 916.6054107533.

The spelling of 770100224 in words is "seven hundred seventy million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 512 908 1024 1816 3313 3632 6626 7264 13252 14528 26504 29056 53008 58112 106016 116224 212032 232448 424064 752051 848128 1504102 1696256 3008204 3392512 6016408 12032816 24065632 48131264 96262528 192525056 385050112 770100224