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215325440 = 2851141373
BaseRepresentation
bin11001101010110…
…01101100000000
3120000011122222022
430311121230000
5420110403230
633211101012
75223143651
oct1465315400
9500148868
10215325440
11100600210
1260141768
13357c1b05
1420851528
1513d851e5
hexcd59b00

215325440 has 144 divisors (see below), whose sum is σ = 577928736. Its totient is φ = 76185600.

The previous prime is 215325433. The next prime is 215325449. The reversal of 215325440 is 44523512.

It is a happy number.

It is a super-2 number, since 2×2153254402 = 92730090222387200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (215325449) 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, 577094 + ... + 577466.

It is an arithmetic number, because the mean of its divisors is an integer number (4013394).

Almost surely, 2215325440 is an apocalyptic number.

215325440 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 215325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288964368).

215325440 is an abundant number, since it is smaller than the sum of its proper divisors (362603296).

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

215325440 is a wasteful number, since it uses less digits than its factorization.

215325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 215325440 is about 14673.9715142152. The cubic root of 215325440 is about 599.3747560838.

Adding to 215325440 its reverse (44523512), we get a palindrome (259848952).

The spelling of 215325440 in words is "two hundred fifteen million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 128 160 164 176 205 220 256 320 328 352 373 410 440 451 640 656 704 746 820 880 902 1280 1312 1408 1492 1640 1760 1804 1865 2255 2624 2816 2984 3280 3520 3608 3730 4103 4510 5248 5968 6560 7040 7216 7460 8206 9020 10496 11936 13120 14080 14432 14920 15293 16412 18040 20515 23872 26240 28864 29840 30586 32824 36080 41030 47744 52480 57728 59680 61172 65648 72160 76465 82060 95488 115456 119360 122344 131296 144320 152930 164120 168223 238720 244688 262592 288640 305860 328240 336446 477440 489376 525184 577280 611720 656480 672892 841115 978752 1050368 1223440 1312960 1345784 1682230 1957504 2446880 2625920 2691568 3364460 3915008 4893760 5251840 5383136 6728920 9787520 10766272 13457840 19575040 21532544 26915680 43065088 53831360 107662720 215325440