Search a number
-
+
22919130 = 232513191031
BaseRepresentation
bin101011101101…
…1011111011010
31121010102010200
41113123133122
521331403010
62135123030
7365544423
oct127333732
947112120
1022919130
1111a34533
127813476
134996020
14308864a
15202acc0
hex15db7da

22919130 has 96 divisors (see below), whose sum is σ = 67616640. Its totient is φ = 5339520.

The previous prime is 22919119. The next prime is 22919147. The reversal of 22919130 is 3191922.

It is a junction number, because it is equal to n+sod(n) for n = 22919094 and 22919103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21715 + ... + 22745.

It is an arithmetic number, because the mean of its divisors is an integer number (704340).

Almost surely, 222919130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22919130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33808320).

22919130 is an abundant number, since it is smaller than the sum of its proper divisors (44697510).

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

22919130 is a wasteful number, since it uses less digits than its factorization.

22919130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 22919130 is about 4787.3928186436. The cubic root of 22919130 is about 284.0529971188.

The spelling of 22919130 in words is "twenty-two million, nine hundred nineteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1031 1170 1235 1482 1710 2062 2223 2470 3093 3705 4446 5155 6186 7410 9279 10310 11115 13403 15465 18558 19589 22230 26806 30930 39178 40209 46395 58767 67015 80418 92790 97945 117534 120627 134030 176301 195890 201045 241254 254657 293835 352602 402090 509314 587670 603135 763971 881505 1206270 1273285 1527942 1763010 2291913 2546570 3819855 4583826 7639710 11459565 22919130