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22628130 = 2357277389
BaseRepresentation
bin101011001010…
…0011100100010
31120120121221220
41112110130202
521243100010
62124555510
7363223140
oct126243442
946517856
1022628130
1111855938
1276b2b96
1348c3735
143010590
151ebe970
hex1594722

22628130 has 64 divisors (see below), whose sum is σ = 62449920. Its totient is φ = 5140224.

The previous prime is 22628101. The next prime is 22628131. The reversal of 22628130 is 3182622.

22628130 = 7872 + 7882 + ... + 8212.

It is a self number, because there is not a number n which added to its sum of digits gives 22628130.

It is not an unprimeable number, because it can be changed into a prime (22628131) 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, 57976 + ... + 58364.

It is an arithmetic number, because the mean of its divisors is an integer number (975780).

Almost surely, 222628130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22628130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31224960).

22628130 is an abundant number, since it is smaller than the sum of its proper divisors (39821790).

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

22628130 is a wasteful number, since it uses less digits than its factorization.

22628130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 22628130 is about 4756.9034045269. The cubic root of 22628130 is about 282.8456832852.

The spelling of 22628130 in words is "twenty-two million, six hundred twenty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 277 389 554 778 831 1167 1385 1662 1939 1945 2334 2723 2770 3878 3890 4155 5446 5817 5835 8169 8310 9695 11634 11670 13615 16338 19390 27230 29085 40845 58170 81690 107753 215506 323259 538765 646518 754271 1077530 1508542 1616295 2262813 3232590 3771355 4525626 7542710 11314065 22628130