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22422672 = 2432315023
BaseRepresentation
bin101010110001…
…0010010010000
31120012012010100
41111202102100
521220011142
62120332400
7361406136
oct125422220
946165110
1022422672
1111725538
127614100
13485106c
142d99756
151e7db4c
hex1562490

22422672 has 60 divisors (see below), whose sum is σ = 64789504. Its totient is φ = 7231680.

The previous prime is 22422671. The next prime is 22422683. The reversal of 22422672 is 27622422.

It is not an unprimeable number, because it can be changed into a prime (22422671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1953 + ... + 6975.

Almost surely, 222422672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22422672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32394752).

22422672 is an abundant number, since it is smaller than the sum of its proper divisors (42366832).

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

22422672 is a wasteful number, since it uses less digits than its factorization.

22422672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5059 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 22422672 is about 4735.2583878813. The cubic root of 22422672 is about 281.9870221883.

The spelling of 22422672 in words is "twenty-two million, four hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 5023 10046 15069 20092 30138 40184 45207 60276 80368 90414 120552 155713 180828 241104 311426 361656 467139 622852 723312 934278 1245704 1401417 1868556 2491408 2802834 3737112 5605668 7474224 11211336 22422672