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215281540 = 2251737109157
BaseRepresentation
bin11001101010011…
…10111110000100
3120000002102202101
430311032332010
5420103002130
633210121444
75222601655
oct1465167604
9500072671
10215281540
11100580231
1260120284
13357a7b36
142083d52c
1513d771ca
hexcd4ef84

215281540 has 96 divisors (see below), whose sum is σ = 499292640. Its totient is φ = 77635584.

The previous prime is 215281481. The next prime is 215281559. The reversal of 215281540 is 45182512.

It can be written as a sum of positive squares in 16 ways, for example, as 1887876 + 213393664 = 1374^2 + 14608^2 .

It is a super-2 number, since 2×2152815402 = 92692282929543200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 215281499 and 215281508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1371142 + ... + 1371298.

It is an arithmetic number, because the mean of its divisors is an integer number (5200965).

Almost surely, 2215281540 is an apocalyptic number.

215281540 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 215281540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249646320).

215281540 is an abundant number, since it is smaller than the sum of its proper divisors (284011100).

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

215281540 is a wasteful number, since it uses less digits than its factorization.

215281540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 215281540 is about 14672.4755920738. The cubic root of 215281540 is about 599.3340203179.

The spelling of 215281540 in words is "two hundred fifteen million, two hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 109 148 157 170 185 218 314 340 370 436 545 628 629 740 785 1090 1258 1570 1853 2180 2516 2669 3140 3145 3706 4033 5338 5809 6290 7412 8066 9265 10676 11618 12580 13345 16132 17113 18530 20165 23236 26690 29045 34226 37060 40330 53380 58090 68452 68561 80660 85565 98753 116180 137122 171130 197506 274244 290921 342260 342805 395012 493765 581842 633181 685610 987530 1163684 1266362 1371220 1454605 1975060 2532724 2909210 3165905 5818420 6331810 10764077 12663620 21528154 43056308 53820385 107640770 215281540