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32220242112 = 263678812843
BaseRepresentation
bin11110000000011110…
…011110000011000000
310002011111001212222110
4132000132132003000
51011441340221422
622445103335320
72220306352632
oct360036360300
9102144055873
1032220242112
1112734539873
1262b25b1540
133066363126
1417b9274a52
15c889e360c
hex78079e0c0

32220242112 has 112 divisors (see below), whose sum is σ = 86650445952. Its totient is φ = 10564055040.

The previous prime is 32220242101. The next prime is 32220242129. The reversal of 32220242112 is 21124202223.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11331763 + ... + 11334605.

It is an arithmetic number, because the mean of its divisors is an integer number (773664696).

Almost surely, 232220242112 is an apocalyptic number.

32220242112 is a gapful number since it is divisible by the number (32) 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 32220242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43325222976).

32220242112 is an abundant number, since it is smaller than the sum of its proper divisors (54430203840).

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

32220242112 is a wasteful number, since it uses less digits than its factorization.

32220242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 32220242112 its reverse (21124202223), we get a palindrome (53344444335).

The spelling of 32220242112 in words is "thirty-two billion, two hundred twenty million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 881 1072 1608 1762 2144 2643 2843 3216 3524 4288 5286 5686 6432 7048 8529 10572 11372 12864 14096 17058 21144 22744 28192 34116 42288 45488 56384 59027 68232 84576 90976 118054 136464 169152 177081 181952 190481 236108 272928 354162 380962 472216 545856 571443 708324 761924 944432 1142886 1416648 1523848 1888864 2285772 2504683 2833296 3047696 3777728 4571544 5009366 5666592 6095392 7514049 9143088 10018732 11333184 12190784 15028098 18286176 20037464 30056196 36572352 40074928 60112392 80149856 120224784 160299712 167813761 240449568 335627522 480899136 503441283 671255044 1006882566 1342510088 2013765132 2685020176 4027530264 5370040352 8055060528 10740080704 16110121056 32220242112