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215468140 = 225233831223
BaseRepresentation
bin11001101011111…
…00100001101100
3120000102220201111
430311330201230
5420124440030
633214121404
75224306666
oct1465744154
9500386644
10215468140
11100698448
12601b0264
1335841a54
142088b536
1513db262a
hexcd7c86c

215468140 has 48 divisors (see below), whose sum is σ = 473776128. Its totient is φ = 82157504.

The previous prime is 215468129. The next prime is 215468191. The reversal of 215468140 is 41864512.

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, 175569 + ... + 176791.

It is an arithmetic number, because the mean of its divisors is an integer number (9870336).

Almost surely, 2215468140 is an apocalyptic number.

215468140 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 215468140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236888064).

215468140 is an abundant number, since it is smaller than the sum of its proper divisors (258307988).

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

215468140 is a wasteful number, since it uses less digits than its factorization.

215468140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 215468140 is about 14678.8330598859. The cubic root of 215468140 is about 599.5071322836.

The spelling of 215468140 in words is "two hundred fifteen million, four hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 383 460 766 1223 1532 1915 2446 3830 4892 6115 7660 8809 12230 17618 24460 28129 35236 44045 56258 88090 112516 140645 176180 281290 468409 562580 936818 1873636 2342045 4684090 9368180 10773407 21546814 43093628 53867035 107734070 215468140