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215152220 = 225431012477
BaseRepresentation
bin11001101001011…
…11011001011100
3112222211212100202
430310233121130
5420034332340
633203243032
75221522643
oct1464573134
9488755322
10215152220
111004a2058
1260079478
133576100a
142080835a
1513d4dc15
hexcd2f65c

215152220 has 48 divisors (see below), whose sum is σ = 467093088. Its totient is φ = 83193600.

The previous prime is 215152211. The next prime is 215152241. The reversal of 215152220 is 22251512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 215152192 and 215152201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85622 + ... + 88098.

It is an arithmetic number, because the mean of its divisors is an integer number (9731106).

Almost surely, 2215152220 is an apocalyptic number.

215152220 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 215152220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233546544).

215152220 is an abundant number, since it is smaller than the sum of its proper divisors (251940868).

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

215152220 is a wasteful number, since it uses less digits than its factorization.

215152220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 215152220 is about 14668.0680391114. The cubic root of 215152220 is about 599.2139892801.

The spelling of 215152220 in words is "two hundred fifteen million, one hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 101 172 202 215 404 430 505 860 1010 2020 2477 4343 4954 8686 9908 12385 17372 21715 24770 43430 49540 86860 106511 213022 250177 426044 500354 532555 1000708 1065110 1250885 2130220 2501770 5003540 10757611 21515222 43030444 53788055 107576110 215152220