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215158120 = 23517397797
BaseRepresentation
bin11001101001100…
…00110101101000
3112222212011110021
430310300311220
5420040024440
633203330224
75221546102
oct1464606550
9488764407
10215158120
111004a6531
1260080974
13357638c8
142080a572
1513d5084a
hexcd30d68

215158120 has 64 divisors (see below), whose sum is σ = 514518480. Its totient is φ = 80695296.

The previous prime is 215158067. The next prime is 215158121. The reversal of 215158120 is 21851512.

It can be written as a sum of positive squares in 8 ways, for example, as 140612164 + 74545956 = 11858^2 + 8634^2 .

It is not an unprimeable number, because it can be changed into a prime (215158121) 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 15 ways as a sum of consecutive naturals, for example, 269562 + ... + 270358.

Almost surely, 2215158120 is an apocalyptic number.

215158120 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 215158120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257259240).

215158120 is an abundant number, since it is smaller than the sum of its proper divisors (299360360).

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

215158120 is a wasteful number, since it uses less digits than its factorization.

215158120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The square root of 215158120 is about 14668.2691548799. The cubic root of 215158120 is about 599.2194665343.

The spelling of 215158120 in words is "two hundred fifteen million, one hundred fifty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 397 680 794 797 1588 1594 1985 3176 3188 3970 3985 6376 6749 7940 7970 13498 13549 15880 15940 26996 27098 31880 33745 53992 54196 67490 67745 108392 134980 135490 269960 270980 316409 541960 632818 1265636 1582045 2531272 3164090 5378953 6328180 10757906 12656360 21515812 26894765 43031624 53789530 107579060 215158120