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215344272 = 2431113137229
BaseRepresentation
bin11001101010111…
…10010010010000
3120000012121210210
430311132102100
5420112004042
633211324120
75223252603
oct1465362220
9500177723
10215344272
11100613380
1260150640
13357ca560
142085833a
1513d8aa9c
hexcd5e490

215344272 has 160 divisors (see below), whose sum is σ = 661207680. Its totient is φ = 59535360.

The previous prime is 215344249. The next prime is 215344273. The reversal of 215344272 is 272443512.

It is not an unprimeable number, because it can be changed into a prime (215344273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940254 + ... + 940482.

It is an arithmetic number, because the mean of its divisors is an integer number (4132548).

Almost surely, 2215344272 is an apocalyptic number.

215344272 is a gapful number since it is divisible by the number (22) 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 215344272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330603840).

215344272 is an abundant number, since it is smaller than the sum of its proper divisors (445863408).

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

215344272 is a wasteful number, since it uses less digits than its factorization.

215344272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 215344272 is about 14674.6131805918. The cubic root of 215344272 is about 599.3922290097.

Adding to 215344272 its reverse (272443512), we get a palindrome (487787784).

The spelling of 215344272 in words is "two hundred fifteen million, three hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 137 143 156 176 208 229 264 274 286 312 411 429 458 528 548 572 624 687 822 858 916 1096 1144 1374 1507 1644 1716 1781 1832 2192 2288 2519 2748 2977 3014 3288 3432 3562 3664 4521 5038 5343 5496 5954 6028 6576 6864 7124 7557 8931 9042 10076 10686 10992 11908 12056 14248 15114 17862 18084 19591 20152 21372 23816 24112 28496 30228 31373 32747 35724 36168 39182 40304 42744 47632 58773 60456 62746 65494 71448 72336 78364 85488 94119 98241 117546 120912 125492 130988 142896 156728 188238 196482 235092 250984 261976 313456 345103 376476 392964 407849 470184 501968 523952 690206 752952 785928 815698 940368 1035309 1223547 1380412 1505904 1571856 1631396 2070618 2447094 2760824 3262792 4141236 4486339 4894188 5521648 6525584 8282472 8972678 9788376 13459017 16564944 17945356 19576752 26918034 35890712 53836068 71781424 107672136 215344272