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252215440 = 2453152693
BaseRepresentation
bin11110000100010…
…00000010010000
3122120120212112121
433002020002100
51004031343230
641005504024
76151536661
oct1702100220
9576525477
10252215440
1111a407214
1270572014
1340339c09
14256d5368
151722077a
hexf088090

252215440 has 20 divisors (see below), whose sum is σ = 586401084. Its totient is φ = 100886144.

The previous prime is 252215413. The next prime is 252215441. The reversal of 252215440 is 44512252.

It can be written as a sum of positive squares in 2 ways, for example, as 114575616 + 137639824 = 10704^2 + 11732^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2522154402 = 127225256348787200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252215441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1576267 + ... + 1576426.

Almost surely, 2252215440 is an apocalyptic number.

252215440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252215440 is an abundant number, since it is smaller than the sum of its proper divisors (334185644).

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

252215440 is a wasteful number, since it uses less digits than its factorization.

252215440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152706 (or 3152700 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 252215440 is about 15881.2921388658. The cubic root of 252215440 is about 631.8159080335.

Adding to 252215440 its reverse (44512252), we get a palindrome (296727692).

The spelling of 252215440 in words is "two hundred fifty-two million, two hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3152693 6305386 12610772 15763465 25221544 31526930 50443088 63053860 126107720 252215440