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22291482048 = 2631122934603
BaseRepresentation
bin10100110000101011…
…010000010111000000
32010112112100121200020
4110300223100113000
5331123104411143
614123543453440
71416255320403
oct246053202700
963475317606
1022291482048
1194a9a62440
1243a1457280
132143359984
141116777d3a
158a7008883
hex530ad05c0

22291482048 has 112 divisors (see below), whose sum is σ = 64383367296. Its totient is φ = 6750581760.

The previous prime is 22291482013. The next prime is 22291482071. The reversal of 22291482048 is 84028419222.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4840515 + ... + 4845117.

Almost surely, 222291482048 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 22291482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32191683648).

22291482048 is an abundant number, since it is smaller than the sum of its proper divisors (42091885248).

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

22291482048 is a wasteful number, since it uses less digits than its factorization.

22291482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6922 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 22291482048 in words is "twenty-two billion, two hundred ninety-one million, four hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2293 4586 4603 6879 9172 9206 13758 13809 18344 18412 25223 27516 27618 36688 36824 50446 50633 55032 55236 73376 73648 75669 100892 101266 110064 110472 146752 147296 151338 151899 201784 202532 220128 220944 294592 302676 303798 403568 405064 440256 441888 605352 607596 807136 810128 883776 1210704 1215192 1614272 1620256 2421408 2430384 3240512 4842816 4860768 9721536 10554679 21109358 31664037 42218716 63328074 84437432 116101469 126656148 168874864 232202938 253312296 337749728 348304407 464405876 506624592 675499456 696608814 928811752 1013249184 1393217628 1857623504 2026498368 2786435256 3715247008 5572870512 7430494016 11145741024 22291482048