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2244775680 = 2835571031
BaseRepresentation
bin1000010111001100…
…1000111100000000
312210102221102100000
42011303020330000
514044130310210
61010425200000
7106425164340
oct20563107400
95712842300
102244775680
11a52132214
12527930000
1329a0aab44
141741b4d20
15d2113ac0
hex85cc8f00

2244775680 has 432 divisors, whose sum is σ = 9213894144. Its totient is φ = 512593920.

The previous prime is 2244775669. The next prime is 2244775697. The reversal of 2244775680 is 865774422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176765 + ... + 2177795.

Almost surely, 22244775680 is an apocalyptic number.

2244775680 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 2244775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606947072).

2244775680 is an abundant number, since it is smaller than the sum of its proper divisors (6969118464).

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

2244775680 is an equidigital number, since it uses as much as digits as its factorization.

2244775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2244775680 is about 47379.0637307239. The cubic root of 2244775680 is about 1309.3557191564.

It can be divided in two parts, 2244 and 775680, that added together give a square (777924 = 8822).

The spelling of 2244775680 in words is "two billion, two hundred forty-four million, seven hundred seventy-five thousand, six hundred eighty".