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22553221504 = 2711235631237
BaseRepresentation
bin10101000000010001…
…101101100110000000
32011012202212100201011
4111000101231212000
5332142111042004
614205533450304
71425614135242
oct250021554600
964182770634
1022553221504
119623784140
124455040994
13218564c8a8
14113d42c092
158beeab004
hex54046d980

22553221504 has 128 divisors (see below), whose sum is σ = 51278158080. Its totient is φ = 9780418560.

The previous prime is 22553221459. The next prime is 22553221541. The reversal of 22553221504 is 40512235522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18231574 + ... + 18232810.

It is an arithmetic number, because the mean of its divisors is an integer number (400610610).

Almost surely, 222553221504 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 22553221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25639079040).

22553221504 is an abundant number, since it is smaller than the sum of its proper divisors (28724936576).

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

22553221504 is a wasteful number, since it uses less digits than its factorization.

22553221504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 22553221504 in words is "twenty-two billion, five hundred fifty-three million, two hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 563 704 736 1012 1126 1237 1408 1472 2024 2252 2474 2944 4048 4504 4948 6193 8096 9008 9896 12386 12949 13607 16192 18016 19792 24772 25898 27214 28451 32384 36032 39584 49544 51796 54428 56902 72064 79168 99088 103592 108856 113804 142439 158336 198176 207184 217712 227608 284878 312961 396352 414368 435424 455216 569756 625922 696431 792704 828736 870848 910432 1139512 1251844 1392862 1657472 1741696 1820864 2279024 2503688 2785724 3641728 4558048 5007376 5571448 7660741 9116096 10014752 11142896 15321482 16017913 18232192 20029504 22285792 30642964 32035826 40059008 44571584 61285928 64071652 89143168 122571856 128143304 176197043 245143712 256286608 352394086 490287424 512573216 704788172 980574848 1025146432 1409576344 2050292864 2819152688 5638305376 11276610752 22553221504