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22260168 = 23327291523
BaseRepresentation
bin101010011101…
…0100111001000
31112212221012200
41110322213020
521144311133
62113040200
7360131310
oct124724710
945787180
1022260168
1111624437
127556060
1347c50c8
142d56440
151e4a913
hex153a9c8

22260168 has 96 divisors (see below), whose sum is σ = 71323200. Its totient is φ = 6136704.

The previous prime is 22260167. The next prime is 22260193. The reversal of 22260168 is 86106222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22260163) 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, 13855 + ... + 15377.

It is an arithmetic number, because the mean of its divisors is an integer number (742950).

Almost surely, 222260168 is an apocalyptic number.

22260168 is a gapful number since it is divisible by the number (28) 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 22260168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35661600).

22260168 is an abundant number, since it is smaller than the sum of its proper divisors (49063032).

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

22260168 is a wasteful number, since it uses less digits than its factorization.

22260168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22260168 is about 4718.0682487645. The cubic root of 22260168 is about 281.3041543127.

The spelling of 22260168 in words is "twenty-two million, two hundred sixty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1523 1624 1827 2088 2436 3046 3654 4569 4872 6092 7308 9138 10661 12184 13707 14616 18276 21322 27414 31983 36552 42644 44167 54828 63966 85288 88334 95949 109656 127932 132501 176668 191898 255864 265002 309169 353336 383796 397503 530004 618338 767592 795006 927507 1060008 1236676 1590012 1855014 2473352 2782521 3180024 3710028 5565042 7420056 11130084 22260168