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22755420 = 22325167757
BaseRepresentation
bin101011011001…
…1100001011100
31120211002120100
41112303201130
521311133140
62131421100
7364263222
oct126634134
946732510
1022755420
1111932536
127754790
13493965c
143044b12
151ee7530
hex15b385c

22755420 has 72 divisors (see below), whose sum is σ = 69529824. Its totient is φ = 6023808.

The previous prime is 22755419. The next prime is 22755427. The reversal of 22755420 is 2455722.

It is a super-3 number, since 3×227554203 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22755427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29682 + ... + 30438.

It is an arithmetic number, because the mean of its divisors is an integer number (965692).

Almost surely, 222755420 is an apocalyptic number.

22755420 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 22755420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34764912).

22755420 is an abundant number, since it is smaller than the sum of its proper divisors (46774404).

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

22755420 is a wasteful number, since it uses less digits than its factorization.

22755420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 22755420 is about 4770.2641436298. The cubic root of 22755420 is about 283.3750557551.

The spelling of 22755420 in words is "twenty-two million, seven hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 757 835 1002 1503 1514 1670 2004 2271 2505 3006 3028 3340 3785 4542 5010 6012 6813 7515 7570 9084 10020 11355 13626 15030 15140 22710 27252 30060 34065 45420 68130 126419 136260 252838 379257 505676 632095 758514 1137771 1264190 1517028 1896285 2275542 2528380 3792570 4551084 5688855 7585140 11377710 22755420