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22330890 = 2345191451
BaseRepresentation
bin101010100101…
…1111000001010
31120000112020000
41111023320022
521204042030
62114343430
7360544431
oct125137012
946015200
1022330890
111167258a
12758ab76
13481b35a
142d74118
151e61860
hex154be0a

22330890 has 80 divisors (see below), whose sum is σ = 63249120. Its totient is φ = 5637600.

The previous prime is 22330879. The next prime is 22330897. The reversal of 22330890 is 9803322.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22330897) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14665 + ... + 16115.

It is an arithmetic number, because the mean of its divisors is an integer number (790614).

Almost surely, 222330890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22330890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31624560).

22330890 is an abundant number, since it is smaller than the sum of its proper divisors (40918230).

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

22330890 is a wasteful number, since it uses less digits than its factorization.

22330890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 22330890 is about 4725.5571100136. The cubic root of 22330890 is about 281.6017465699.

It can be divided in two parts, 22330 and 890, that added together give a triangular number (23220 = T215).

The spelling of 22330890 in words is "twenty-two million, three hundred thirty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1451 1539 1710 2565 2902 3078 4353 5130 7255 7695 8706 13059 14510 15390 21765 26118 27569 39177 43530 55138 65295 78354 82707 117531 130590 137845 165414 195885 235062 248121 275690 391770 413535 496242 587655 744363 827070 1175310 1240605 1488726 2233089 2481210 3721815 4466178 7443630 11165445 22330890