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22089330048 = 2732112271201
BaseRepresentation
bin10100100100101000…
…000110110110000000
32010000102222020021010
4110210220012312000
5330214332030143
614051523000520
71411252131102
oct244450066600
963012866233
1022089330048
11940593a675
124345809140
1321104cacc6
1410d7995572
158943c6a33
hex524a06d80

22089330048 has 128 divisors (see below), whose sum is σ = 59261869440. Its totient is φ = 7289856000.

The previous prime is 22089330041. The next prime is 22089330079. The reversal of 22089330048 is 84003398022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 22089329988 and 22089330015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22089330041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18391848 + ... + 18393048.

It is an arithmetic number, because the mean of its divisors is an integer number (462983355).

Almost surely, 222089330048 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 22089330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29630934720).

22089330048 is an abundant number, since it is smaller than the sum of its proper divisors (37172539392).

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

22089330048 is a wasteful number, since it uses less digits than its factorization.

22089330048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 22089330048 in words is "twenty-two billion, eighty-nine million, three hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 227 384 422 454 633 681 844 908 1201 1266 1362 1688 1816 2402 2532 2724 3376 3603 3632 4804 5064 5448 6752 7206 7264 9608 10128 10896 13504 14412 14528 19216 20256 21792 27008 28824 29056 38432 40512 43584 47897 57648 76864 81024 87168 95794 115296 143691 153728 191588 230592 253411 272627 287382 383176 461184 506822 545254 574764 760233 766352 817881 1013644 1090508 1149528 1520466 1532704 1635762 2027288 2181016 2299056 3040932 3065408 3271524 4054576 4362032 4598112 6081864 6130816 6543048 8109152 8724064 9196224 12163728 13086096 16218304 17448128 18392448 24327456 26172192 32436608 34896256 48654912 52344384 57524297 97309824 104688768 115048594 172572891 230097188 345145782 460194376 690291564 920388752 1380583128 1840777504 2761166256 3681555008 5522332512 7363110016 11044665024 22089330048