Search a number
-
+
23226517048 = 23723712291303
BaseRepresentation
bin10101101000011010…
…001000011000111000
32012221200210022120011
4111220122020120320
5340031442021143
614400424511304
71451401065100
oct255032103070
965850708504
1023226517048
119939844039
12460261b534
132261c9c017
1411a4a14200
1590e155e9d
hex568688638

23226517048 has 96 divisors (see below), whose sum is σ = 52111360800. Its totient is φ = 9669881088.

The previous prime is 23226517009. The next prime is 23226517109. The reversal of 23226517048 is 84071562232.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 23226517048.

It is a congruent number.

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, 17824765 + ... + 17826067.

It is an arithmetic number, because the mean of its divisors is an integer number (542826675).

Almost surely, 223226517048 is an apocalyptic number.

23226517048 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 23226517048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26055680400).

23226517048 is an abundant number, since it is smaller than the sum of its proper divisors (28884843752).

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

23226517048 is a wasteful number, since it uses less digits than its factorization.

23226517048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 23226517048 in words is "twenty-three billion, two hundred twenty-six million, five hundred seventeen thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1229 1303 1813 2072 2458 2606 3626 4916 5212 7252 8603 9121 9832 10424 14504 17206 18242 34412 36484 45473 48211 60221 63847 68824 72968 90946 96422 120442 127694 181892 192844 240884 255388 318311 337477 363784 385688 481768 510776 636622 674954 1273244 1349908 1601387 2228177 2362339 2546488 2699816 3202774 4456354 4724678 6405548 8912708 9449356 11209709 12811096 17825416 18898712 22419418 44838836 59251319 78467963 89677672 118502638 156935926 237005276 313871852 414759233 474010552 627743704 829518466 1659036932 2903314631 3318073864 5806629262 11613258524 23226517048