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11222468892 = 22331137091297
BaseRepresentation
bin10100111001110100…
…10100100100011100
31001222010001111012000
422130322110210130
5140440423001032
65053332242300
7545050261125
oct123472244434
931863044160
1011222468892
114839877a88
122212470390
13109b04aa4b
1478666104c
1545a385e7c
hex29ce9491c

11222468892 has 96 divisors (see below), whose sum is σ = 29416833600. Its totient is φ = 3699634176.

The previous prime is 11222468891. The next prime is 11222468977. The reversal of 11222468892 is 29886422211.

It is a super-3 number, since 3×112224688923 (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222468891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8651988 + ... + 8653284.

It is an arithmetic number, because the mean of its divisors is an integer number (306425350).

Almost surely, 211222468892 is an apocalyptic number.

11222468892 is a gapful number since it is divisible by the number (12) 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 11222468892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708416800).

11222468892 is an abundant number, since it is smaller than the sum of its proper divisors (18194364708).

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

11222468892 is a wasteful number, since it uses less digits than its factorization.

11222468892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2124 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 11222468892 in words is "eleven billion, two hundred twenty-two million, four hundred sixty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 709 1017 1297 1356 1418 2034 2127 2594 2836 3051 3891 4068 4254 5188 6102 6381 7782 8508 11673 12204 12762 15564 19143 23346 25524 35019 38286 46692 70038 76572 80117 140076 146561 160234 240351 293122 320468 439683 480702 586244 721053 879366 919573 961404 1319049 1442106 1758732 1839146 2163159 2638098 2758719 2884212 3678292 3957147 4326318 5276196 5517438 7914294 8276157 8652636 11034876 15828588 16552314 24828471 33104628 49656942 99313884 103911749 207823498 311735247 415646996 623470494 935205741 1246940988 1870411482 2805617223 3740822964 5611234446 11222468892