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21922002 = 235431049
BaseRepresentation
bin101001110100…
…0000011010010
31112020202100000
41103220003102
521103001002
62101510430
7354222354
oct123500322
945222300
1021922002
1111413363
127412416
1347071cb
142ca90d4
151dd061c
hex14e80d2

21922002 has 48 divisors (see below), whose sum is σ = 50450400. Its totient is φ = 7130592.

The previous prime is 21921919. The next prime is 21922007. The reversal of 21922002 is 20022912.

It is a super-4 number, since 4×219220024 (a number of 30 digits) contains 4444 as substring.

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 (21922007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20374 + ... + 21422.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050).

Almost surely, 221922002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21922002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25225200).

21922002 is an abundant number, since it is smaller than the sum of its proper divisors (28528398).

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

21922002 is a wasteful number, since it uses less digits than its factorization.

21922002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21922002 is about 4682.0937624101. The cubic root of 21922002 is about 279.8723993421.

Adding to 21922002 its reverse (20022912), we get a palindrome (41944914).

The spelling of 21922002 in words is "twenty-one million, nine hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 774 1049 1161 2098 2322 3147 3483 6294 6966 9441 10449 18882 20898 28323 45107 56646 84969 90214 135321 169938 254907 270642 405963 509814 811926 1217889 2435778 3653667 7307334 10961001 21922002