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23223142098 = 2361323072
BaseRepresentation
bin10101101000001101…
…010000011011010010
32012221110102212000000
4111220031100123102
5340030111021343
614400224310430
71451330310432
oct255015203322
965843385000
1023223142098
119937949422
124601472416
132261389b00
1411a43b62c2
1590dbdaed3
hex5683506d2

23223142098 has 126 divisors (see below), whose sum is σ = 56739589749. Its totient is φ = 7122306672.

The previous prime is 23223142079. The next prime is 23223142133. The reversal of 23223142098 is 89024132232.

23223142098 is a `hidden beast` number, since 2 + 3 + 223 + 1 + 420 + 9 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19856473569 + 3366668529 = 140913^2 + 58023^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=107757.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 75645261 + ... + 75645567.

Almost surely, 223223142098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23223142098

23223142098 is an abundant number, since it is smaller than the sum of its proper divisors (33516447651).

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

23223142098 is an frugal number, since it uses more digits than its factorization.

23223142098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 325 counting only the distinct ones).

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

Multiplying 23223142098 by its product of nonzero digits (41472), we get a square (963110149088256 = 310340162).

The spelling of 23223142098 in words is "twenty-three billion, two hundred twenty-three million, one hundred forty-two thousand, ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 243 307 338 351 486 507 614 702 729 921 1014 1053 1458 1521 1842 2106 2763 3042 3159 3991 4563 5526 6318 7982 8289 9126 9477 11973 13689 16578 18954 23946 24867 27378 35919 41067 49734 51883 71838 74601 82134 94249 103766 107757 123201 149202 155649 188498 215514 223803 246402 282747 311298 323271 447606 466947 565494 646542 848241 933894 969813 1225237 1400841 1696482 1939626 2450474 2544723 2801682 2909439 3675711 4202523 5089446 5818878 7351422 7634169 8405046 11027133 12607569 15268338 15928081 22054266 22902507 25215138 31856162 33081399 37822707 45805014 47784243 66162798 68707521 75645414 95568486 99244197 137415042 143352729 198488394 286705458 297732591 430058187 595465182 860116374 893197773 1290174561 1786395546 2580349122 3870523683 7741047366 11611571049 23223142098