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22341420 = 223554597
BaseRepresentation
bin101010100111…
…0011100101100
31120001001200000
41111032130230
521204411140
62114504300
7360620223
oct125163454
946031600
1022341420
111167a492
127595090
13482309a
142d77cba
151e64a30
hex154e72c

22341420 has 72 divisors (see below), whose sum is σ = 70294224. Its totient is φ = 5956416.

The previous prime is 22341413. The next prime is 22341439. The reversal of 22341420 is 2414322.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22341393 and 22341402.

It is an unprimeable number.

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, 2562 + ... + 7158.

Almost surely, 222341420 is an apocalyptic number.

22341420 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 22341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35147112).

22341420 is an abundant number, since it is smaller than the sum of its proper divisors (47952804).

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

22341420 is a wasteful number, since it uses less digits than its factorization.

22341420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22341420 is about 4726.6711330491. The cubic root of 22341420 is about 281.6460021642.

Adding to 22341420 its reverse (2414322), we get a palindrome (24755742).

The spelling of 22341420 in words is "twenty-two million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4597 4860 9194 13791 18388 22985 27582 41373 45970 55164 68955 82746 91940 124119 137910 165492 206865 248238 275820 372357 413730 496476 620595 744714 827460 1117071 1241190 1489428 1861785 2234142 2482380 3723570 4468284 5585355 7447140 11170710 22341420