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22552420 = 22511234457
BaseRepresentation
bin101011000000…
…1111101100100
31120102210002211
41112001331210
521233134140
62123213204
7362456332
oct126017544
946383084
1022552420
1111803a70
127677204
134898137
142dd0b52
151ea72ea
hex1581f64

22552420 has 48 divisors (see below), whose sum is σ = 53923968. Its totient is φ = 7842560.

The previous prime is 22552417. The next prime is 22552423. The reversal of 22552420 is 2425522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22552417) and next prime (22552423).

It is a super-2 number, since 2×225524202 = 1017223295712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22552391 and 22552400.

It is not an unprimeable number, because it can be changed into a prime (22552423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2832 + ... + 7288.

It is an arithmetic number, because the mean of its divisors is an integer number (1123416).

Almost surely, 222552420 is an apocalyptic number.

22552420 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 22552420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26961984).

22552420 is an abundant number, since it is smaller than the sum of its proper divisors (31371548).

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

22552420 is a wasteful number, since it uses less digits than its factorization.

22552420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 22552420 is about 4748.9388288332. The cubic root of 22552420 is about 282.5298791066.

Adding to 22552420 its reverse (2425522), we get a palindrome (24977942).

The spelling of 22552420 in words is "twenty-two million, five hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 4457 5060 8914 17828 22285 44570 49027 89140 98054 102511 196108 205022 245135 410044 490270 512555 980540 1025110 1127621 2050220 2255242 4510484 5638105 11276210 22552420