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215240440 = 23523317547
BaseRepresentation
bin11001101010001…
…00111011111000
3120000000100101011
430311010323320
5420100143230
633205203304
75222341102
oct1465047370
9500010334
10215240440
11100552368
1260100534
133579220c
142082c572
1513d69e2a
hexcd44ef8

215240440 has 64 divisors (see below), whose sum is σ = 521717760. Its totient is φ = 79685760.

The previous prime is 215240429. The next prime is 215240449. The reversal of 215240440 is 44042512.

It is a happy number.

It is a super-2 number, since 2×2152404402 = 92656894022787200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215240449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24747 + ... + 32293.

It is an arithmetic number, because the mean of its divisors is an integer number (8151840).

Almost surely, 2215240440 is an apocalyptic number.

215240440 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 215240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260858880).

215240440 is an abundant number, since it is smaller than the sum of its proper divisors (306477320).

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

215240440 is a wasteful number, since it uses less digits than its factorization.

215240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 215240440 is about 14671.0749435752. The cubic root of 215240440 is about 599.2958777133.

Adding to 215240440 its reverse (44042512), we get a palindrome (259282952).

The spelling of 215240440 in words is "two hundred fifteen million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 460 620 713 920 1240 1426 2852 3565 5704 7130 7547 14260 15094 28520 30188 37735 60376 75470 150940 173581 233957 301880 347162 467914 694324 867905 935828 1169785 1388648 1735810 1871656 2339570 3471620 4679140 5381011 6943240 9358280 10762022 21524044 26905055 43048088 53810110 107620220 215240440