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22429740 = 2235312389
BaseRepresentation
bin101010110010…
…0000000101100
31120012112211010
41111210000230
521220222430
62120425220
7361435554
oct125440054
946175733
1022429740
111172a883
127618210
134854348
142d9c164
151e80cb0
hex156402c

22429740 has 72 divisors (see below), whose sum is σ = 65061360. Its totient is φ = 5773440.

The previous prime is 22429739. The next prime is 22429751. The reversal of 22429740 is 4792422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22429698 and 22429707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57466 + ... + 57854.

It is an arithmetic number, because the mean of its divisors is an integer number (903630).

Almost surely, 222429740 is an apocalyptic number.

22429740 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 22429740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32530680).

22429740 is an abundant number, since it is smaller than the sum of its proper divisors (42631620).

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

22429740 is a wasteful number, since it uses less digits than its factorization.

22429740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 22429740 is about 4736.0046452680. The cubic root of 22429740 is about 282.0166480791.

The spelling of 22429740 in words is "twenty-two million, four hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 389 465 620 778 930 961 1167 1556 1860 1922 1945 2334 2883 3844 3890 4668 4805 5766 5835 7780 9610 11532 11670 12059 14415 19220 23340 24118 28830 36177 48236 57660 60295 72354 120590 144708 180885 241180 361770 373829 723540 747658 1121487 1495316 1869145 2242974 3738290 4485948 5607435 7476580 11214870 22429740