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22124130 = 2357137769
BaseRepresentation
bin101010001100…
…1011001100010
31112122000121020
41110121121202
521130433010
62110110310
7356023560
oct124313142
945560536
1022124130
1111541206
1274ab396
134778202
142d1ca30
151e20470
hex1519662

22124130 has 64 divisors (see below), whose sum is σ = 61205760. Its totient is φ = 5013504.

The previous prime is 22124119. The next prime is 22124131. The reversal of 22124130 is 3142122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (22124131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28386 + ... + 29154.

It is an arithmetic number, because the mean of its divisors is an integer number (956340).

Almost surely, 222124130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22124130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30602880).

22124130 is an abundant number, since it is smaller than the sum of its proper divisors (39081630).

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

22124130 is a wasteful number, since it uses less digits than its factorization.

22124130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22124130 is about 4703.6294496910. The cubic root of 22124130 is about 280.7299406795.

Adding to 22124130 its reverse (3142122), we get a palindrome (25266252).

The spelling of 22124130 in words is "twenty-two million, one hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 137 210 274 411 685 769 822 959 1370 1538 1918 2055 2307 2877 3845 4110 4614 4795 5383 5754 7690 9590 10766 11535 14385 16149 23070 26915 28770 32298 53830 80745 105353 161490 210706 316059 526765 632118 737471 1053530 1474942 1580295 2212413 3160590 3687355 4424826 7374710 11062065 22124130