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22068228 = 22372132887
BaseRepresentation
bin101010000101…
…1110000000100
31112112011220210
41110023300010
521122140403
62104555420
7355401600
oct124136004
945464823
1022068228
1111503206
127482b70
134758930
142d06500
151e0db03
hex150bc04

22068228 has 72 divisors (see below), whose sum is σ = 64529472. Its totient is φ = 5818176.

The previous prime is 22068223. The next prime is 22068269. The reversal of 22068228 is 82286022.

It is a junction number, because it is equal to n+sod(n) for n = 22068195 and 22068204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22068223) 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, 6201 + ... + 9087.

Almost surely, 222068228 is an apocalyptic number.

22068228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22068228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32264736).

22068228 is an abundant number, since it is smaller than the sum of its proper divisors (42461244).

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

22068228 is a wasteful number, since it uses less digits than its factorization.

22068228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2912 counting only the distinct ones).

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

The square root of 22068228 is about 4697.6832587990. The cubic root of 22068228 is about 280.4932970777.

The spelling of 22068228 in words is "twenty-two million, sixty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 2887 3822 5774 7644 8661 11548 17322 20209 34644 37531 40418 60627 75062 80836 112593 121254 141463 150124 225186 242508 262717 282926 424389 450372 525434 565852 788151 848778 1050868 1576302 1697556 1839019 3152604 3678038 5517057 7356076 11034114 22068228