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252222340 = 225193717939
BaseRepresentation
bin11110000100010…
…01101110000100
3122120121020000011
433002021232010
51004032103330
641010000004
76151566046
oct1702115604
9576536004
10252222340
1111a411417
1270576004
13403400b6
14256d7a96
151722282a
hexf089b84

252222340 has 48 divisors (see below), whose sum is σ = 572644800. Its totient is φ = 92990592.

The previous prime is 252222329. The next prime is 252222361. The reversal of 252222340 is 43222252.

It is a happy number.

It is a super-2 number, since 2×2522223402 = 127232217590151200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5091 + ... + 23029.

It is an arithmetic number, because the mean of its divisors is an integer number (11930100).

Almost surely, 2252222340 is an apocalyptic number.

252222340 is a gapful number since it is divisible by the number (20) 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 252222340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286322400).

252222340 is an abundant number, since it is smaller than the sum of its proper divisors (320422460).

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

252222340 is a wasteful number, since it uses less digits than its factorization.

252222340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18004 (or 18002 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 252222340 is about 15881.5093741118. The cubic root of 252222340 is about 631.8216696289.

Adding to 252222340 its reverse (43222252), we get a palindrome (295444592).

The spelling of 252222340 in words is "two hundred fifty-two million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 1406 2812 3515 7030 14060 17939 35878 71756 89695 179390 340841 358780 663743 681682 1327486 1363364 1704205 2654972 3318715 3408410 6637430 6816820 12611117 13274860 25222234 50444468 63055585 126111170 252222340