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22161420 = 223252353101
BaseRepresentation
bin101010010001…
…0100000001100
31112200220202100
41110202200030
521133131140
62110555100
7356240361
oct124424014
945626670
1022161420
1111567226
127508a90
13478c188
142d2c468
151e2b530
hex152280c

22161420 has 144 divisors (see below), whose sum is σ = 72176832. Its totient is φ = 5491200.

The previous prime is 22161407. The next prime is 22161427. The reversal of 22161420 is 2416122.

It is a super-2 number, since 2×221614202 = 982257072832800, which contains 22 as substring.

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 = 22161393 and 22161402.

It is not an unprimeable number, because it can be changed into a prime (22161427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219370 + ... + 219470.

It is an arithmetic number, because the mean of its divisors is an integer number (501228).

Almost surely, 222161420 is an apocalyptic number.

22161420 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 22161420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36088416).

22161420 is an abundant number, since it is smaller than the sum of its proper divisors (50015412).

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

22161420 is a wasteful number, since it uses less digits than its factorization.

22161420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22161420 is about 4707.5917410073. The cubic root of 22161420 is about 280.8875746523.

Adding to 22161420 its reverse (2416122), we get a palindrome (24577542).

The spelling of 22161420 in words is "twenty-two million, one hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 53 60 69 90 92 101 106 115 138 159 180 202 207 212 230 265 276 303 318 345 404 414 460 477 505 530 606 636 690 795 828 909 954 1010 1035 1060 1212 1219 1380 1515 1590 1818 1908 2020 2070 2323 2385 2438 3030 3180 3636 3657 4140 4545 4646 4770 4876 5353 6060 6095 6969 7314 9090 9292 9540 10706 10971 11615 12190 13938 14628 16059 18180 18285 20907 21412 21942 23230 24380 26765 27876 32118 34845 36570 41814 43884 46460 48177 53530 54855 64236 69690 73140 80295 83628 96354 104535 107060 109710 123119 139380 160590 192708 209070 219420 240885 246238 321180 369357 418140 481770 492476 615595 738714 963540 1108071 1231190 1477428 1846785 2216142 2462380 3693570 4432284 5540355 7387140 11080710 22161420