Search a number
-
+
22344552 = 2333314771
BaseRepresentation
bin101010100111…
…1001101101000
31120001012222000
41111033031220
521210011202
62114531000
7360632316
oct125171550
946035860
1022344552
111168187a
127596a60
134824639
142d790b6
151e6591c
hex154f368

22344552 has 128 divisors (see below), whose sum is σ = 66355200. Its totient is φ = 6955200.

The previous prime is 22344541. The next prime is 22344557. The reversal of 22344552 is 25544322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22344557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314677 + ... + 314747.

It is an arithmetic number, because the mean of its divisors is an integer number (518400).

Almost surely, 222344552 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 22344552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33177600).

22344552 is an abundant number, since it is smaller than the sum of its proper divisors (44010648).

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

22344552 is a wasteful number, since it uses less digits than its factorization.

22344552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 22344552 is about 4727.0024328320. The cubic root of 22344552 is about 281.6591626834.

Adding to 22344552 its reverse (25544322), we get a palindrome (47888874).

It can be divided in two parts, 2234 and 4552, that added together give a triangular number (6786 = T116).

The spelling of 22344552 in words is "twenty-two million, three hundred forty-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 47 54 62 71 72 93 94 108 124 141 142 186 188 213 216 248 279 282 284 372 376 423 426 558 564 568 639 744 837 846 852 1116 1128 1269 1278 1457 1674 1692 1704 1917 2201 2232 2538 2556 2914 3337 3348 3384 3834 4371 4402 5076 5112 5828 6603 6674 6696 7668 8742 8804 10011 10152 11656 13113 13206 13348 15336 17484 17608 19809 20022 26226 26412 26696 30033 34968 39339 39618 40044 52452 52824 59427 60066 78678 79236 80088 90099 103447 104904 118854 120132 157356 158472 180198 206894 237708 240264 310341 314712 360396 413788 475416 620682 720792 827576 931023 1241364 1862046 2482728 2793069 3724092 5586138 7448184 11172276 22344552