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22301240896 = 2611216972
BaseRepresentation
bin10100110001010000…
…011110111001000000
32010120012201102022001
4110301100132321000
5331133104202041
614124532553344
71416434264014
oct246120367100
963505642261
1022301240896
119504518400
1243a4782854
13214539583c
141117b98544
158a7cd5131
hex53141ee40

22301240896 has 63 divisors (see below), whose sum is σ = 48671534737. Its totient is φ = 10130954240.

The previous prime is 22301240881. The next prime is 22301240947. The reversal of 22301240896 is 69804210322.

It is a happy number.

The square root of 22301240896 is 149336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21468110400 + 833130496 = 146520^2 + 28864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13140720 + ... + 13142416.

Almost surely, 222301240896 is an apocalyptic number.

22301240896 is the 149336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22301240896

22301240896 is an abundant number, since it is smaller than the sum of its proper divisors (26370293841).

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

22301240896 is an frugal number, since it uses more digits than its factorization.

22301240896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 22301240896 in words is "twenty-two billion, three hundred one million, two hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1697 1936 3394 3872 6788 7744 13576 18667 27152 37334 54304 74668 108608 149336 205337 298672 410674 597344 821348 1194688 1642696 2879809 3285392 5759618 6570784 11519236 13141568 23038472 31677899 46076944 63355798 92153888 126711596 184307776 253423192 348456889 506846384 696913778 1013692768 1393827556 2027385536 2787655112 5575310224 11150620448 22301240896