Search a number
-
+
22382032608 = 25321323925013
BaseRepresentation
bin10100110110000100…
…101011011011100000
32010202211202001200200
4110312010223123200
5331314300020413
614140540345200
71421435065245
oct246604533340
963684661620
1022382032608
11954608a411
124407845200
1321590423a0
1411247c95cc
158aee43573
hex53612b6e0

22382032608 has 144 divisors (see below), whose sum is σ = 68834525760. Its totient is φ = 6857690112.

The previous prime is 22382032591. The next prime is 22382032649. The reversal of 22382032608 is 80623028322.

22382032608 is a `hidden beast` number, since 2 + 23 + 8 + 20 + 3 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 882310 + ... + 907322.

It is an arithmetic number, because the mean of its divisors is an integer number (478017540).

Almost surely, 222382032608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22382032608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34417262880).

22382032608 is an abundant number, since it is smaller than the sum of its proper divisors (46452493152).

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

22382032608 is a wasteful number, since it uses less digits than its factorization.

22382032608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25281 (or 25270 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 22382032608 in words is "twenty-two billion, three hundred eighty-two million, thirty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 239 288 312 416 468 478 624 717 936 956 1248 1434 1872 1912 2151 2868 3107 3744 3824 4302 5736 6214 7648 8604 9321 11472 12428 17208 18642 22944 24856 25013 27963 34416 37284 49712 50026 55926 68832 74568 75039 99424 100052 111852 149136 150078 200104 223704 225117 298272 300156 325169 400208 447408 450234 600312 650338 800416 894816 900468 975507 1200624 1300676 1800936 1951014 2401248 2601352 2926521 3601872 3902028 5202704 5853042 5978107 7203744 7804056 10405408 11706084 11956214 15608112 17934321 23412168 23912428 31216224 35868642 46824336 47824856 53802963 71737284 77715391 93648672 95649712 107605926 143474568 155430782 191299424 215211852 233146173 286949136 310861564 430423704 466292346 573898272 621723128 699438519 860847408 932584692 1243446256 1398877038 1721694816 1865169384 2486892512 2797754076 3730338768 5595508152 7460677536 11191016304 22382032608