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215235144 = 23341931721
BaseRepresentation
bin11001101010000…
…11101001001000
3120000000002010000
430311003221020
5420100011034
633205123000
75222316465
oct1465035110
9500002100
10215235144
11100549393
12600b9460
133578c997
142082a66c
1513d68599
hexcd43a48

215235144 has 80 divisors (see below), whose sum is σ = 606333420. Its totient is φ = 71331840.

The previous prime is 215235133. The next prime is 215235157. The reversal of 215235144 is 441532512.

It can be written as a sum of positive squares in 2 ways, for example, as 215208900 + 26244 = 14670^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124204 + ... + 125924.

Almost surely, 2215235144 is an apocalyptic number.

215235144 is a gapful number since it is divisible by the number (24) 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 215235144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303166710).

215235144 is an abundant number, since it is smaller than the sum of its proper divisors (391098276).

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

215235144 is a wasteful number, since it uses less digits than its factorization.

215235144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1919 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 215235144 is about 14670.8944512596. The cubic root of 215235144 is about 599.2909624396.

Adding to 215235144 its reverse (441532512), we get a palindrome (656767656).

The spelling of 215235144 in words is "two hundred fifteen million, two hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 193 216 324 386 579 648 772 1158 1544 1721 1737 2316 3442 3474 4632 5163 5211 6884 6948 10326 10422 13768 13896 15489 15633 20652 20844 30978 31266 41304 41688 46467 61956 62532 92934 123912 125064 139401 185868 278802 332153 371736 557604 664306 996459 1115208 1328612 1992918 2657224 2989377 3985836 5978754 7971672 8968131 11957508 17936262 23915016 26904393 35872524 53808786 71745048 107617572 215235144