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22862224 = 2472112241
BaseRepresentation
bin101011100110…
…1100110010000
31121000112002001
41113031212100
521323042344
62134003344
7365216500
oct127154620
947015061
1022862224
11119a5800
1277a6554
134976158
143071a00
152018ed4
hex15cd990

22862224 has 90 divisors (see below), whose sum is σ = 56872662. Its totient is φ = 8870400.

The previous prime is 22862173. The next prime is 22862233. The reversal of 22862224 is 42226822.

It can be written as a sum of positive squares in only one way, i.e., 21344400 + 1517824 = 4620^2 + 1232^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22862192 and 22862201.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 94744 + ... + 94984.

Almost surely, 222862224 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 22862224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28436331).

22862224 is an abundant number, since it is smaller than the sum of its proper divisors (34010438).

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

22862224 is a wasteful number, since it uses less digits than its factorization.

22862224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 22862224 is about 4781.4458064481. The cubic root of 22862224 is about 283.8177101702.

The spelling of 22862224 in words is "twenty-two million, eight hundred sixty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 241 242 308 392 482 484 539 616 784 847 964 968 1078 1232 1687 1694 1928 1936 2156 2651 3374 3388 3856 4312 5302 5929 6748 6776 8624 10604 11809 11858 13496 13552 18557 21208 23618 23716 26992 29161 37114 42416 47236 47432 58322 74228 94472 94864 116644 129899 148456 188944 204127 233288 259798 296912 408254 466576 519596 816508 1039192 1428889 1633016 2078384 2857778 3266032 5715556 11431112 22862224