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22468428 = 2234312237
BaseRepresentation
bin101010110110…
…1011101001100
31120021111220000
41111231131030
521222442203
62121324300
7361656423
oct125553514
946244800
1022468428
1111756954
127636690
134868b38
142dac2ba
151e8c4a3
hex156d74c

22468428 has 60 divisors (see below), whose sum is σ = 60658752. Its totient is φ = 7244640.

The previous prime is 22468421. The next prime is 22468463. The reversal of 22468428 is 82486422.

It is a happy number.

22468428 is a `hidden beast` number, since 224 + 6 + 8 + 428 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22468392 and 22468401.

It is not an unprimeable number, because it can be changed into a prime (22468421) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8926 + ... + 11162.

Almost surely, 222468428 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 22468428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30329376).

22468428 is an abundant number, since it is smaller than the sum of its proper divisors (38190324).

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

22468428 is a wasteful number, since it uses less digits than its factorization.

22468428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2273 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 22468428 is about 4740.0873409675. The cubic root of 22468428 is about 282.1787006781.

The spelling of 22468428 in words is "twenty-two million, four hundred sixty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2237 2511 3348 4474 5022 6711 8948 10044 13422 20133 26844 40266 60399 69347 80532 120798 138694 181197 208041 241596 277388 362394 416082 624123 724788 832164 1248246 1872369 2496492 3744738 5617107 7489476 11234214 22468428