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22345830 = 23251371269
BaseRepresentation
bin101010100111…
…1100001100110
31120001021201100
41111033201212
521210031310
62114540530
7360636123
oct125174146
946037640
1022345830
1111682831
127597746
1348250b0
142d7974a
151e65ec0
hex154f866

22345830 has 96 divisors (see below), whose sum is σ = 63685440. Its totient is φ = 5402880.

The previous prime is 22345789. The next prime is 22345879. The reversal of 22345830 is 3854322.

It is a super-2 number, since 2×223458302 = 998672236777800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22345794 and 22345803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82936 + ... + 83204.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 222345830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22345830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842720).

22345830 is an abundant number, since it is smaller than the sum of its proper divisors (41339610).

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

22345830 is a wasteful number, since it uses less digits than its factorization.

22345830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 22345830 is about 4727.1376117054. The cubic root of 22345830 is about 281.6645324271.

The spelling of 22345830 in words is "twenty-two million, three hundred forty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 71 78 90 117 130 142 195 213 234 269 355 390 426 538 585 639 710 807 923 1065 1170 1278 1345 1614 1846 2130 2421 2690 2769 3195 3497 4035 4615 4842 5538 6390 6994 8070 8307 9230 10491 12105 13845 16614 17485 19099 20982 24210 27690 31473 34970 38198 41535 52455 57297 62946 83070 95495 104910 114594 157365 171891 190990 248287 286485 314730 343782 496574 572970 744861 859455 1241435 1489722 1718910 2234583 2482870 3724305 4469166 7448610 11172915 22345830