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22228608 = 273107541
BaseRepresentation
bin101010011001…
…0111010000000
31112211022220210
41110302322000
521142303413
62112234120
7356640303
oct124627200
945738823
1022228608
1111602756
12753b940
1347b392c
142d48b3a
151e413c3
hex1532e80

22228608 has 64 divisors (see below), whose sum is σ = 59706720. Its totient is φ = 7326720.

The previous prime is 22228567. The next prime is 22228621. The reversal of 22228608 is 80682222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×222286082 = 988222027235328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40818 + ... + 41358.

Almost surely, 222228608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29853360).

22228608 is an abundant number, since it is smaller than the sum of its proper divisors (37478112).

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

22228608 is a wasteful number, since it uses less digits than its factorization.

22228608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 22228608 is about 4714.7224732745. The cubic root of 22228608 is about 281.1711490560.

The spelling of 22228608 in words is "twenty-two million, two hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 541 642 856 1082 1284 1623 1712 2164 2568 3246 3424 4328 5136 6492 6848 8656 10272 12984 13696 17312 20544 25968 34624 41088 51936 57887 69248 103872 115774 173661 207744 231548 347322 463096 694644 926192 1389288 1852384 2778576 3704768 5557152 7409536 11114304 22228608