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22129660 = 2257315099
BaseRepresentation
bin101010001101…
…0101111111100
31112122022012001
41110122233330
521131122120
62110152044
7356045650
oct124325774
945568161
1022129660
1111545383
1274b2624
13477a897
142d20a60
151e21e0a
hex151abfc

22129660 has 48 divisors (see below), whose sum is σ = 54835200. Its totient is φ = 7341120.

The previous prime is 22129651. The next prime is 22129669. The reversal of 22129660 is 6692122.

It is an interprime number because it is at equal distance from previous prime (22129651) and next prime (22129669).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22129669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791 + ... + 6889.

It is an arithmetic number, because the mean of its divisors is an integer number (1142400).

Almost surely, 222129660 is an apocalyptic number.

22129660 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 22129660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27417600).

22129660 is an abundant number, since it is smaller than the sum of its proper divisors (32705540).

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

22129660 is a wasteful number, since it uses less digits than its factorization.

22129660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 22129660 is about 4704.2172568877. The cubic root of 22129660 is about 280.7533285257.

The spelling of 22129660 in words is "twenty-two million, one hundred twenty-nine thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 5099 10198 20396 25495 35693 50990 71386 101980 142772 158069 178465 316138 356930 632276 713860 790345 1106483 1580690 2212966 3161380 4425932 5532415 11064830 22129660