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22840128 = 2632192087
BaseRepresentation
bin101011100100…
…0001101000000
31120222101202200
41113020031000
521321341003
62133313200
7365065203
oct127101500
946871680
1022840128
1111990143
127795800
13496908c
14306793a
1520126a3
hex15c8340

22840128 has 84 divisors (see below), whose sum is σ = 68945760. Its totient is φ = 7209216.

The previous prime is 22840123. The next prime is 22840133. The reversal of 22840128 is 82104822.

It is an interprime number because it is at equal distance from previous prime (22840123) and next prime (22840133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22840121) 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, 9901 + ... + 11987.

Almost surely, 222840128 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 22840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34472880).

22840128 is an abundant number, since it is smaller than the sum of its proper divisors (46105632).

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

22840128 is a wasteful number, since it uses less digits than its factorization.

22840128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 22840128 is about 4779.1346497039. The cubic root of 22840128 is about 283.7262454967.

The spelling of 22840128 in words is "twenty-two million, eight hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2087 2736 3648 4174 5472 6261 8348 10944 12522 16696 18783 25044 33392 37566 39653 50088 66784 75132 79306 100176 118959 133568 150264 158612 200352 237918 300528 317224 356877 400704 475836 601056 634448 713754 951672 1202112 1268896 1427508 1903344 2537792 2855016 3806688 5710032 7613376 11420064 22840128