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22023090 = 23751953
BaseRepresentation
bin101010000000…
…0101110110010
31112102220000000
41110000232302
521114214330
62104010430
7355123155
oct124005662
945386000
1022023090
1111482301
127460a16
13474121b
142cd3c9c
151e00560
hex1500bb2

22023090 has 128 divisors (see below), whose sum is σ = 63763200. Its totient is φ = 5458752.

The previous prime is 22023083. The next prime is 22023091. The reversal of 22023090 is 9032022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22023091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415504 + ... + 415556.

It is an arithmetic number, because the mean of its divisors is an integer number (498150).

Almost surely, 222023090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22023090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31881600).

22023090 is an abundant number, since it is smaller than the sum of its proper divisors (41740110).

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

22023090 is an equidigital number, since it uses as much as digits as its factorization.

22023090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 22023090 is about 4692.8765165941. The cubic root of 22023090 is about 280.3019277117.

The spelling of 22023090 in words is "twenty-two million, twenty-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 53 54 57 81 90 95 106 114 135 159 162 171 190 243 265 270 285 318 342 405 477 486 513 530 570 729 795 810 855 954 1007 1026 1215 1431 1458 1539 1590 1710 2014 2187 2385 2430 2565 2862 3021 3078 3645 4293 4374 4617 4770 5035 5130 6042 7155 7290 7695 8586 9063 9234 10070 10935 12879 13851 14310 15105 15390 18126 21465 21870 23085 25758 27189 27702 30210 38637 41553 42930 45315 46170 54378 64395 69255 77274 81567 83106 90630 115911 128790 135945 138510 163134 193185 207765 231822 244701 271890 386370 407835 415530 489402 579555 734103 815670 1159110 1223505 1468206 2202309 2447010 3670515 4404618 7341030 11011545 22023090