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22163424 = 2531929419
BaseRepresentation
bin101010010001…
…0111111100000
31112201000111120
41110202333200
521133212144
62111012240
7356246253
oct124427740
945630446
1022163424
1111568788
12750a080
13479006a
142d2d09a
151e2be19
hex1522fe0

22163424 has 96 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 6741504.

The previous prime is 22163417. The next prime is 22163459. The reversal of 22163424 is 42436122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22163394 and 22163403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52687 + ... + 53105.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 222163424 is an apocalyptic number.

22163424 is a gapful number since it is divisible by the number (24) 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 22163424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

22163424 is an abundant number, since it is smaller than the sum of its proper divisors (41340576).

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

22163424 is a wasteful number, since it uses less digits than its factorization.

22163424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 22163424 is about 4707.8045838798. The cubic root of 22163424 is about 280.8960410432.

Adding to 22163424 its reverse (42436122), we get a palindrome (64599546).

The spelling of 22163424 in words is "twenty-two million, one hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 114 116 152 174 228 232 304 348 419 456 464 551 608 696 838 912 928 1102 1257 1392 1653 1676 1824 2204 2514 2784 3306 3352 4408 5028 6612 6704 7961 8816 10056 12151 13224 13408 15922 17632 20112 23883 24302 26448 31844 36453 40224 47766 48604 52896 63688 72906 95532 97208 127376 145812 191064 194416 230869 254752 291624 382128 388832 461738 583248 692607 764256 923476 1166496 1385214 1846952 2770428 3693904 5540856 7387808 11081712 22163424