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22474540 = 22511237251
BaseRepresentation
bin101010110111…
…0111100101100
31120021211021101
41111232330230
521223141130
62121412444
7362013304
oct125567454
946254241
1022474540
1111760500
12763a124
13486b85a
142db0604
151e8e1ca
hex156ef2c

22474540 has 72 divisors (see below), whose sum is σ = 53491536. Its totient is φ = 7920000.

The previous prime is 22474537. The next prime is 22474541. The reversal of 22474540 is 4547422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22474499 and 22474508.

It is not an unprimeable number, because it can be changed into a prime (22474541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89415 + ... + 89665.

It is an arithmetic number, because the mean of its divisors is an integer number (742938).

Almost surely, 222474540 is an apocalyptic number.

22474540 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 22474540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26745768).

22474540 is an abundant number, since it is smaller than the sum of its proper divisors (31016996).

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

22474540 is a wasteful number, since it uses less digits than its factorization.

22474540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 22474540 is about 4740.7320109873. The cubic root of 22474540 is about 282.2042850204.

It can be divided in two parts, 224745 and 40, that added together give a triangular number (224785 = T670).

The spelling of 22474540 in words is "twenty-two million, four hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 251 370 407 484 502 605 740 814 1004 1210 1255 1628 2035 2420 2510 2761 4070 4477 5020 5522 8140 8954 9287 11044 13805 17908 18574 22385 27610 30371 37148 44770 46435 55220 60742 89540 92870 102157 121484 151855 185740 204314 303710 408628 510785 607420 1021570 1123727 2043140 2247454 4494908 5618635 11237270 22474540