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215212540 = 225313131109
BaseRepresentation
bin11001101001111…
…10000111111100
3112222221221002211
430310332013330
5420043300130
633204430204
75222163544
oct1464760774
9488857084
10215212540
11100533404
12600a8364
13357825ca
1420822324
1513d61a2a
hexcd3e1fc

215212540 has 48 divisors (see below), whose sum is σ = 468437760. Its totient is φ = 82967040.

The previous prime is 215212531. The next prime is 215212603. The reversal of 215212540 is 45212512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193506 + ... + 194614.

It is an arithmetic number, because the mean of its divisors is an integer number (9759120).

Almost surely, 2215212540 is an apocalyptic number.

215212540 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 215212540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234218880).

215212540 is an abundant number, since it is smaller than the sum of its proper divisors (253225220).

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

215212540 is a wasteful number, since it uses less digits than its factorization.

215212540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 215212540 is about 14670.1240621884. The cubic root of 215212540 is about 599.2699825214.

The spelling of 215212540 in words is "two hundred fifteen million, two hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 313 620 626 1109 1252 1565 2218 3130 4436 5545 6260 9703 11090 19406 22180 34379 38812 48515 68758 97030 137516 171895 194060 343790 347117 687580 694234 1388468 1735585 3471170 6942340 10760627 21521254 43042508 53803135 107606270 215212540