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22628090448 = 24331710932819
BaseRepresentation
bin10101000100101111…
…010100001001010000
32011101222202002121000
4111010233110021100
5332320242343243
614221210302000
71430513411115
oct250457241120
964358662530
1022628090448
119661a702a7
124476127900
132198004642
14114935a90c
158c68495d3
hex544bd4250

22628090448 has 160 divisors (see below), whose sum is σ = 68858985600. Its totient is φ = 7089997824.

The previous prime is 22628090447. The next prime is 22628090461. The reversal of 22628090448 is 84409082622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22628090447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8025583 + ... + 8028401.

It is an arithmetic number, because the mean of its divisors is an integer number (430368660).

Almost surely, 222628090448 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 22628090448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34429492800).

22628090448 is an abundant number, since it is smaller than the sum of its proper divisors (46230895152).

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

22628090448 is a wasteful number, since it uses less digits than its factorization.

22628090448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 22628090448 in words is "twenty-two billion, six hundred twenty-eight million, ninety thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1093 1224 1836 2186 2448 2819 3279 3672 4372 5638 6558 7344 8457 8744 9837 11276 13116 16914 17488 18581 19674 22552 25371 26232 29511 33828 37162 39348 45104 47923 50742 52464 55743 59022 67656 74324 76113 78696 95846 101484 111486 118044 135312 143769 148648 152226 157392 167229 191692 202968 222972 236088 287538 297296 304452 334458 383384 405936 431307 445944 472176 501687 575076 608904 668916 766768 862614 891888 1003374 1150152 1217808 1293921 1337832 1725228 2006748 2300304 2587842 2675664 3081167 3450456 4013496 5175684 6162334 6900912 8026992 9243501 10351368 12324668 18487002 20702736 24649336 27730503 36974004 49298672 52379839 55461006 73948008 83191509 104759678 110922012 147896016 157139517 166383018 209519356 221844024 314279034 332766036 419038712 443688048 471418551 628558068 665532072 838077424 942837102 1257116136 1331064144 1414255653 1885674204 2514232272 2828511306 3771348408 5657022612 7542696816 11314045224 22628090448