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22826364 = 22311296789
BaseRepresentation
bin101011100010…
…0110101111100
31120221200212220
41113010311330
521320420424
62133125340
7365010111
oct127046574
946850786
1022826364
1111980870
127789850
134962a32
143062908
15200d579
hex15c4d7c

22826364 has 96 divisors (see below), whose sum is σ = 61689600. Its totient is φ = 6504960.

The previous prime is 22826341. The next prime is 22826369. The reversal of 22826364 is 46362822.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22826369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256432 + ... + 256520.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 222826364 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 22826364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30844800).

22826364 is an abundant number, since it is smaller than the sum of its proper divisors (38863236).

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

22826364 is a wasteful number, since it uses less digits than its factorization.

22826364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 22826364 is about 4777.6944230455. The cubic root of 22826364 is about 283.6692406678.

It can be divided in two parts, 2282 and 6364, that added together give a triangular number (8646 = T131).

The spelling of 22826364 in words is "twenty-two million, eight hundred twenty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 67 87 89 116 132 134 174 178 201 267 268 319 348 356 402 534 638 737 804 957 979 1068 1276 1474 1914 1943 1958 2211 2581 2937 2948 3828 3886 3916 4422 5162 5829 5874 5963 7743 7772 8844 10324 11658 11748 11926 15486 17889 21373 23316 23852 28391 30972 35778 42746 56782 64119 65593 71556 85173 85492 113564 128238 131186 170346 172927 196779 256476 262372 340692 345854 393558 518781 691708 787116 1037562 1902197 2075124 3804394 5706591 7608788 11413182 22826364