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22128132 = 22313831709
BaseRepresentation
bin101010001101…
…0011000000100
31112122020002110
41110122120010
521131100012
62110141020
7356041335
oct124323004
945566073
1022128132
1111544214
1274b1770
134779c90
142d2028c
151e2173c
hex151a604

22128132 has 48 divisors (see below), whose sum is σ = 56306880. Its totient is φ = 6722688.

The previous prime is 22128121. The next prime is 22128143. The reversal of 22128132 is 23182122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22128121) and next prime (22128143).

It is a junction number, because it is equal to n+sod(n) for n = 22128099 and 22128108.

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, 12094 + ... + 13802.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 222128132 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 22128132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28153440).

22128132 is an abundant number, since it is smaller than the sum of its proper divisors (34178748).

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

22128132 is a wasteful number, since it uses less digits than its factorization.

22128132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1810 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 22128132 is about 4704.0548466190. The cubic root of 22128132 is about 280.7468665954.

The spelling of 22128132 in words is "twenty-two million, one hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 156 166 249 332 498 996 1079 1709 2158 3237 3418 4316 5127 6474 6836 10254 12948 20508 22217 44434 66651 88868 133302 141847 266604 283694 425541 567388 851082 1702164 1844011 3688022 5532033 7376044 11064066 22128132