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22146420 = 22351572351
BaseRepresentation
bin101010001111…
…0110101110100
31112200011011210
41110132311310
521132141140
62110401420
7356145552
oct124366564
945604153
1022146420
1111556a2a
127500270
1347853ba
142d26bd2
151e26d80
hex151ed74

22146420 has 48 divisors (see below), whose sum is σ = 62431488. Its totient is φ = 5865600.

The previous prime is 22146413. The next prime is 22146433. The reversal of 22146420 is 2464122.

It is a congruent number.

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, 8245 + ... + 10595.

It is an arithmetic number, because the mean of its divisors is an integer number (1300656).

Almost surely, 222146420 is an apocalyptic number.

22146420 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 22146420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31215744).

22146420 is an abundant number, since it is smaller than the sum of its proper divisors (40285068).

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

22146420 is a wasteful number, since it uses less digits than its factorization.

22146420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 22146420 is about 4705.9983000422. The cubic root of 22146420 is about 280.8241872494.

The spelling of 22146420 in words is "twenty-two million, one hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2351 2355 3140 4702 4710 7053 9404 9420 11755 14106 23510 28212 35265 47020 70530 141060 369107 738214 1107321 1476428 1845535 2214642 3691070 4429284 5536605 7382140 11073210 22146420