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22468080 = 2435179523
BaseRepresentation
bin101010110110…
…1010111110000
31120021111102010
41111231113300
521222434310
62121322520
7361655415
oct125552760
946244363
1022468080
1111756668
127636440
13486892b
142dac10c
151e8c320
hex156d5f0

22468080 has 80 divisors (see below), whose sum is σ = 70174080. Its totient is φ = 5946624.

The previous prime is 22468057. The next prime is 22468091. The reversal of 22468080 is 8086422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 42699 + ... + 43221.

It is an arithmetic number, because the mean of its divisors is an integer number (877176).

Almost surely, 222468080 is an apocalyptic number.

22468080 is a gapful number since it is divisible by the number (20) 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 22468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35087040).

22468080 is an abundant number, since it is smaller than the sum of its proper divisors (47706000).

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

22468080 is a wasteful number, since it uses less digits than its factorization.

22468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 22468080 is about 4740.0506326410. The cubic root of 22468080 is about 282.1772438384.

The spelling of 22468080 in words is "twenty-two million, four hundred sixty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 179 240 358 523 537 716 895 1046 1074 1432 1569 1790 2092 2148 2615 2685 2864 3138 3580 4184 4296 5230 5370 6276 7160 7845 8368 8592 10460 10740 12552 14320 15690 20920 21480 25104 31380 41840 42960 62760 93617 125520 187234 280851 374468 468085 561702 748936 936170 1123404 1404255 1497872 1872340 2246808 2808510 3744680 4493616 5617020 7489360 11234040 22468080