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22941828 = 223271347149
BaseRepresentation
bin101011110000…
…1000010000100
31121011120021100
41113201002010
521333114303
62135420100
7366000540
oct127410204
947146240
1022941828
1111a4a598
127824630
1349a3460
143092a20
1520328a3
hex15e1084

22941828 has 144 divisors (see below), whose sum is σ = 73382400. Its totient is φ = 5882112.

The previous prime is 22941827. The next prime is 22941839. The reversal of 22941828 is 82814922.

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 = 22941792 and 22941801.

It is not an unprimeable number, because it can be changed into a prime (22941827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153898 + ... + 154046.

It is an arithmetic number, because the mean of its divisors is an integer number (509600).

Almost surely, 222941828 is an apocalyptic number.

22941828 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 22941828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200).

22941828 is an abundant number, since it is smaller than the sum of its proper divisors (50440572).

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

22941828 is a wasteful number, since it uses less digits than its factorization.

22941828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 22941828 is about 4789.7628333770. The cubic root of 22941828 is about 284.1467369727.

The spelling of 22941828 in words is "twenty-two million, nine hundred forty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 47 52 63 78 84 91 94 117 126 141 149 156 182 188 234 252 273 282 298 329 364 423 447 468 546 564 596 611 658 819 846 894 987 1043 1092 1222 1316 1341 1638 1692 1788 1833 1937 1974 2086 2444 2682 2961 3129 3276 3666 3874 3948 4172 4277 5364 5499 5811 5922 6258 7003 7332 7748 8554 9387 10998 11622 11844 12516 12831 13559 14006 17108 17433 18774 21009 21996 23244 25662 27118 28012 34866 37548 38493 40677 42018 49021 51324 54236 63027 69732 76986 81354 84036 91039 98042 122031 126054 147063 153972 162708 182078 196084 244062 252108 273117 294126 364156 441189 488124 546234 588252 637273 819351 882378 1092468 1274546 1638702 1764756 1911819 2549092 3277404 3823638 5735457 7647276 11470914 22941828