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22814740 = 22513471867
BaseRepresentation
bin101011100001…
…0000000010100
31120221002221101
41113002000110
521320032430
62132555444
7364631164
oct127020024
946832841
1022814740
1111973063
127782b84
13495a660
14305c5a4
152009dca
hex15c2014

22814740 has 48 divisors (see below), whose sum is σ = 52722432. Its totient is φ = 8240256.

The previous prime is 22814713. The next prime is 22814749. The reversal of 22814740 is 4741822.

It is a super-2 number, since 2×228147402 = 1041024722535200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22814699 and 22814708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22814749) 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, 11287 + ... + 13153.

It is an arithmetic number, because the mean of its divisors is an integer number (1098384).

Almost surely, 222814740 is an apocalyptic number.

22814740 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 22814740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26361216).

22814740 is an abundant number, since it is smaller than the sum of its proper divisors (29907692).

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

22814740 is a wasteful number, since it uses less digits than its factorization.

22814740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 22814740 is about 4776.4777817970. The cubic root of 22814740 is about 283.6210809883.

It can be divided in two parts, 2281 and 4740, that added together give a triangular number (7021 = T118).

The spelling of 22814740 in words is "twenty-two million, eight hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 1867 2444 3055 3734 6110 7468 9335 12220 18670 24271 37340 48542 87749 97084 121355 175498 242710 350996 438745 485420 877490 1140737 1754980 2281474 4562948 5703685 11407370 22814740