Search a number
-
+
22466643012 = 2232111729115079
BaseRepresentation
bin10100111011000111…
…011100010001000100
32010222201221201100100
4110323013130101010
5332002430034022
614153202044100
71423513212642
oct247307342104
963881851310
1022466643012
11958991a470
124430049630
132170728108
141131b32192
158b75a81ac
hex53b1dc444

22466643012 has 144 divisors (see below), whose sum is σ = 67860374400. Its totient is φ = 6186593280.

The previous prime is 22466642963. The next prime is 22466643091. The reversal of 22466643012 is 21034666422.

It is a super-3 number, since 3×224666430123 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137689 + ... + 252767.

It is an arithmetic number, because the mean of its divisors is an integer number (471252600).

Almost surely, 222466643012 is an apocalyptic number.

22466643012 is a gapful number since it is divisible by the number (22) 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 22466643012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33930187200).

22466643012 is an abundant number, since it is smaller than the sum of its proper divisors (45393731388).

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

22466643012 is a wasteful number, since it uses less digits than its factorization.

22466643012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115146 (or 115141 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 22466643012 in words is "twenty-two billion, four hundred sixty-six million, six hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 29 33 34 36 44 51 58 66 68 87 99 102 116 132 153 174 187 198 204 261 306 319 348 374 396 493 522 561 612 638 748 957 986 1044 1122 1276 1479 1683 1914 1972 2244 2871 2958 3366 3828 4437 5423 5742 5916 6732 8874 10846 11484 16269 17748 21692 32538 48807 65076 97614 115079 195228 230158 345237 460316 690474 1035711 1265869 1380948 1956343 2071422 2531738 3337291 3797607 3912686 4142844 5063476 5869029 6674582 7595214 7825372 10011873 11392821 11738058 13349164 15190428 17607087 20023746 21519773 22785642 23476116 30035619 35214174 36710201 40047492 43039546 45571284 56733947 60071238 64559319 70428348 73420402 86079092 110130603 113467894 120142476 129118638 146840804 170201841 193677957 220261206 226935788 258237276 330391809 340403682 387355914 440522412 510605523 624073417 660783618 680807364 774711828 1021211046 1248146834 1321567236 1872220251 2042422092 2496293668 3744440502 5616660753 7488881004 11233321506 22466643012