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2242064448 = 2634131719103
BaseRepresentation
bin1000010110100011…
…0011000001000000
312210020211200020000
42011220303001000
514042432030243
61010251120000
7106363143021
oct20550630100
95706750200
102242064448
11a50650228
12526a43000
1329966ba70
14173aaac48
15d1c7a5d3
hex85a33040

2242064448 has 560 divisors, whose sum is σ = 8054766720. Its totient is φ = 609140736.

The previous prime is 2242064381. The next prime is 2242064509. The reversal of 2242064448 is 8444602422.

It is a happy number.

2242064448 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 0 + 644 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21767565 + ... + 21767667.

It is an arithmetic number, because the mean of its divisors is an integer number (14383512).

Almost surely, 22242064448 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 2242064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027383360).

2242064448 is an abundant number, since it is smaller than the sum of its proper divisors (5812702272).

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

2242064448 is a wasteful number, since it uses less digits than its factorization.

2242064448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2242064448 is about 47350.4429546335. The cubic root of 2242064448 is about 1308.8283617418.

It can be divided in two parts, 22420 and 64448, that added together give a palindrome (86868).

The spelling of 2242064448 in words is "two billion, two hundred forty-two million, sixty-four thousand, four hundred forty-eight".