[go: up one dir, main page]

Search a number
-
+
215066096 = 2472318849
BaseRepresentation
bin11001101000110…
…10010111110000
3112222200111012222
430310122113300
5420024103341
633201340212
75221013600
oct1464322760
9488614188
10215066096
11100443383
1260037668
1335730a5b
14207c4c00
1513d3344b
hexcd1a5f0

215066096 has 60 divisors (see below), whose sum is σ = 500414400. Its totient is φ = 89187840.

The previous prime is 215066083. The next prime is 215066119. The reversal of 215066096 is 690660512.

It is a happy number.

215066096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19880 + ... + 28728.

It is an arithmetic number, because the mean of its divisors is an integer number (8340240).

Almost surely, 2215066096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215066096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250207200).

215066096 is an abundant number, since it is smaller than the sum of its proper divisors (285348304).

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

215066096 is a wasteful number, since it uses less digits than its factorization.

215066096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8902 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 215066096 is about 14665.1319803130. The cubic root of 215066096 is about 599.1340248204.

The spelling of 215066096 in words is "two hundred fifteen million, sixty-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1736 3038 3472 6076 8849 12152 17698 24304 35396 61943 70792 123886 141584 247772 274319 433601 495544 548638 867202 991088 1097276 1734404 1920233 2194552 3468808 3840466 4389104 6937616 7680932 13441631 15361864 26883262 30723728 53766524 107533048 215066096