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22902282 = 23213971009
BaseRepresentation
bin101011101011…
…1011000001010
31121002120000200
41113113120022
521330333112
62134513030
7365444334
oct127273012
947076020
1022902282
1111a22907
127805776
13498b460
143082454
152025cdc
hex15d760a

22902282 has 48 divisors (see below), whose sum is σ = 54043080. Its totient is φ = 6967296.

The previous prime is 22902263. The next prime is 22902283. The reversal of 22902282 is 28220922.

It can be written as a sum of positive squares in 4 ways, for example, as 13111641 + 9790641 = 3621^2 + 3129^2 .

It is not an unprimeable number, because it can be changed into a prime (22902283) 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 23 ways as a sum of consecutive naturals, for example, 22194 + ... + 23202.

Almost surely, 222902282 is an apocalyptic number.

22902282 is the 3027-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22902282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27021540).

22902282 is an abundant number, since it is smaller than the sum of its proper divisors (31140798).

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

22902282 is a wasteful number, since it uses less digits than its factorization.

22902282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1124 counting only the distinct ones).

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

The square root of 22902282 is about 4785.6328735080. The cubic root of 22902282 is about 283.9833769944.

The spelling of 22902282 in words is "twenty-two million, nine hundred two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1009 1261 1746 2018 2522 3027 3783 6054 7566 9081 11349 13117 18162 22698 26234 39351 78702 97873 118053 195746 236106 293619 587238 880857 1272349 1761714 2544698 3817047 7634094 11451141 22902282