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2226980322 = 232742272
BaseRepresentation
bin1000010010111101…
…0000010111100010
312202012110022200200
42010233100113202
514030101332242
61004551530030
7106121010000
oct20457202742
95665408620
102226980322
11a43088306
12521989916
132964ba048
14171aa1a70
15d079b04c
hex84bd05e2

2226980322 has 90 divisors (see below), whose sum is σ = 5653882923. Its totient is φ = 633477096.

The previous prime is 2226980321. The next prime is 2226980351. The reversal of 2226980322 is 2230896222.

It can be written as a sum of positive squares in only one way, i.e., 1113490161 + 1113490161 = 33369^2 + 33369^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33369.

It is not an unprimeable number, because it can be changed into a prime (2226980321) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9810373 + ... + 9810599.

Almost surely, 22226980322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226980322

2226980322 is an abundant number, since it is smaller than the sum of its proper divisors (3426902601).

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

2226980322 is an frugal number, since it uses more digits than its factorization.

2226980322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2226980322 is about 47190.8923628278. The cubic root of 2226980322 is about 1305.8865829916.

Multiplying 2226980322 by its product of nonzero digits (41472), we get a square (92357327913984 = 96102722).

The spelling of 2226980322 in words is "two billion, two hundred twenty-six million, nine hundred eighty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 227 294 343 441 454 681 686 882 1029 1362 1589 2043 2058 2401 3087 3178 4086 4767 4802 6174 7203 9534 11123 14301 14406 21609 22246 28602 33369 43218 51529 66738 77861 100107 103058 154587 155722 200214 233583 309174 360703 463761 467166 545027 700749 721406 927522 1082109 1090054 1401498 1635081 2164218 2524921 3246327 3270162 4905243 5049842 6492654 7574763 9810486 15149526 17674447 22724289 35348894 45448578 53023341 106046682 123721129 159070023 247442258 318140046 371163387 742326774 1113490161 2226980322