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22002332130 = 2345732331597
BaseRepresentation
bin10100011111011100…
…001111000111100010
32002210101021021120000
4110133130033013202
5330030044112010
614035134200430
71406144510622
oct243734170742
962711237500
1022002332130
119370819869
124320653116
1320c848a64c
1410ca1ca882
1588b93e7c0
hex51f70f1e2

22002332130 has 160 divisors (see below), whose sum is σ = 60267368304. Its totient is φ = 5758470144.

The previous prime is 22002332089. The next prime is 22002332167. The reversal of 22002332130 is 3123320022.

It is a happy number.

22002332130 is a `hidden beast` number, since 2 + 200 + 2 + 332 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3804052329 + 18198279801 = 61677^2 + 134901^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13776492 + ... + 13778088.

Almost surely, 222002332130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002332130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30133684152).

22002332130 is an abundant number, since it is smaller than the sum of its proper divisors (38265036174).

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

22002332130 is a wasteful number, since it uses less digits than its factorization.

22002332130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22002332130 its reverse (3123320022), we get a palindrome (25125652152).

The spelling of 22002332130 in words is "twenty-two billion, two million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 233 270 365 405 438 466 657 699 730 810 1095 1165 1314 1398 1597 1971 2097 2190 2330 3194 3285 3495 3942 4194 4791 5913 6291 6570 6990 7985 9582 9855 10485 11826 12582 14373 15970 17009 18873 19710 20970 23955 28746 29565 31455 34018 37746 43119 47910 51027 59130 62910 71865 85045 86238 94365 102054 116581 129357 143730 153081 170090 188730 215595 233162 255135 258714 306162 349743 372101 431190 459243 510270 582905 646785 699486 744202 765405 918486 1049229 1116303 1165810 1293570 1377729 1530810 1748715 1860505 2098458 2232606 2296215 2755458 3147687 3348909 3497430 3721010 4592430 5246145 5581515 6295374 6697818 6888645 9443061 10046727 10492290 11163030 13777290 15738435 16744545 18886122 20093454 27163373 30140181 31476870 33489090 47215305 50233635 54326746 60280362 81490119 94430610 100467270 135816865 150700905 162980238 244470357 271633730 301401810 407450595 488940714 733411071 814901190 1222351785 1466822142 2200233213 2444703570 3667055355 4400466426 7334110710 11001166065 22002332130