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22276456328 = 237177324391
BaseRepresentation
bin10100101111110001…
…111011111110001000
32010111111002020021002
4110233301323332020
5331110233100303
614122245434132
71416013516550
oct245761737610
963444066232
1022276456328
1194a152a395
12439840b948
1321401c8709
141114786160
158a5a3b788
hex52fc7bf88

22276456328 has 96 divisors (see below), whose sum is σ = 51256748160. Its totient is φ = 8860354560.

The previous prime is 22276456313. The next prime is 22276456339. The reversal of 22276456328 is 82365467222.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5071013 + ... + 5075403.

It is an arithmetic number, because the mean of its divisors is an integer number (533924460).

Almost surely, 222276456328 is an apocalyptic number.

22276456328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22276456328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25628374080).

22276456328 is an abundant number, since it is smaller than the sum of its proper divisors (28980291832).

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

22276456328 is a wasteful number, since it uses less digits than its factorization.

22276456328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4490 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 47.

The spelling of 22276456328 in words is "twenty-two billion, two hundred seventy-six million, four hundred fifty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 73 119 136 146 238 292 476 511 584 952 1022 1241 2044 2482 4088 4391 4964 5329 8687 8782 9928 10658 17374 17564 21316 30737 34748 35128 37303 42632 61474 69496 74606 74647 90593 122948 149212 149294 181186 245896 298424 298588 320543 362372 522529 597176 634151 641086 724744 1045058 1268302 1282172 2090116 2243801 2536604 2564344 4180232 4487602 5073208 5449231 8975204 10898462 17950408 21796924 23399639 38144617 43593848 46799278 76289234 93598556 152578468 163797473 187197112 305156936 327594946 397793863 655189892 795587726 1310379784 1591175452 2784557041 3182350904 5569114082 11138228164 22276456328