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22280940 = 2233511331
BaseRepresentation
bin101010011111…
…1101011101100
31112220222201000
41110333223230
521200442230
62113320300
7360246003
oct124775354
945828630
1022280940
1111639000
127566090
1348016b6
142d5dc3a
151e51b60
hex153faec

22280940 has 192 divisors, whose sum is σ = 78704640. Its totient is φ = 5227200.

The previous prime is 22280933. The next prime is 22280953. The reversal of 22280940 is 4908222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 718725 + ... + 718755.

It is an arithmetic number, because the mean of its divisors is an integer number (409920).

Almost surely, 222280940 is an apocalyptic number.

22280940 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 22280940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39352320).

22280940 is an abundant number, since it is smaller than the sum of its proper divisors (56423700).

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

22280940 is a wasteful number, since it uses less digits than its factorization.

22280940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22280940 is about 4720.2690601278. The cubic root of 22280940 is about 281.3916264483.

It can be divided in two parts, 22280 and 940, that added together give a triangular number (23220 = T215).

The spelling of 22280940 in words is "twenty-two million, two hundred eighty thousand, nine hundred forty".