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22900482 = 2341171181
BaseRepresentation
bin101011101011…
…0111100000010
31121002110120000
41113112330002
521330303412
62134500430
7365436153
oct127267402
947073500
1022900482
1111a21520
127804716
13498a6a7
14308192a
1520254dc
hex15d6f02

22900482 has 80 divisors (see below), whose sum is σ = 57081024. Its totient is φ = 6804000.

The previous prime is 22900481. The next prime is 22900483. The reversal of 22900482 is 28400922.

It is an interprime number because it is at equal distance from previous prime (22900481) and next prime (22900483).

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 (22900481) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 126432 + ... + 126612.

Almost surely, 222900482 is an apocalyptic number.

22900482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22900482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28540512).

22900482 is an abundant number, since it is smaller than the sum of its proper divisors (34180542).

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

22900482 is a wasteful number, since it uses less digits than its factorization.

22900482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22900482 is about 4785.4448069119. Note that the first 3 decimals coincide. The cubic root of 22900482 is about 283.9759369284.

The spelling of 22900482 in words is "twenty-two million, nine hundred thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 81 99 142 162 181 198 213 297 362 426 543 594 639 781 891 1086 1278 1562 1629 1782 1917 1991 2343 3258 3834 3982 4686 4887 5751 5973 7029 9774 11502 11946 12851 14058 14661 17919 21087 25702 29322 35838 38553 42174 53757 63261 77106 107514 115659 126522 141361 161271 231318 282722 322542 346977 424083 693954 848166 1040931 1272249 2081862 2544498 3816747 7633494 11450241 22900482