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22052952 = 2333232193
BaseRepresentation
bin101010000100…
…0000001011000
31112111101222000
41110020001120
521121143302
62104401000
7355306215
oct124100130
945441860
1022052952
11114a2789
127476160
1347519ac
142d00b0c
151e0931c
hex1508058

22052952 has 96 divisors (see below), whose sum is σ = 64369200. Its totient is φ = 6994944.

The previous prime is 22052951. The next prime is 22052959. The reversal of 22052952 is 25925022.

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 (22052951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114168 + ... + 114360.

Almost surely, 222052952 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 22052952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32184600).

22052952 is an abundant number, since it is smaller than the sum of its proper divisors (42316248).

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

22052952 is a wasteful number, since it uses less digits than its factorization.

22052952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 22052952 is about 4696.0570694999. The cubic root of 22052952 is about 280.4285614064.

Adding to 22052952 its reverse (25925022), we get a palindrome (47977974).

The spelling of 22052952 in words is "twenty-two million, fifty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 193 207 216 276 386 414 529 552 579 621 772 828 1058 1158 1242 1544 1587 1656 1737 2116 2316 2484 3174 3474 4232 4439 4632 4761 4968 5211 6348 6948 8878 9522 10422 12696 13317 13896 14283 17756 19044 20844 26634 28566 35512 38088 39951 41688 53268 57132 79902 102097 106536 114264 119853 159804 204194 239706 306291 319608 408388 479412 612582 816776 918873 958824 1225164 1837746 2450328 2756619 3675492 5513238 7350984 11026476 22052952