Search a number
-
+
2214878904 = 23357375383
BaseRepresentation
bin1000010000000100…
…0101111010111000
312201100200111200000
42010001011322320
514014002111104
61003440313000
7105613105620
oct20401057270
95640614600
102214878904
11a37272337
12519912760
13293b40b44
14170231880
15ce6aa639
hex84045eb8

2214878904 has 384 divisors, whose sum is σ = 7529034240. Its totient is φ = 596823552.

The previous prime is 2214878893. The next prime is 2214878923. The reversal of 2214878904 is 4098784122.

It is a self number, because there is not a number n which added to its sum of digits gives 2214878904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26685247 + ... + 26685329.

It is an arithmetic number, because the mean of its divisors is an integer number (19606860).

Almost surely, 22214878904 is an apocalyptic number.

2214878904 is a gapful number since it is divisible by the number (24) 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 2214878904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764517120).

2214878904 is an abundant number, since it is smaller than the sum of its proper divisors (5314155336).

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

2214878904 is a wasteful number, since it uses less digits than its factorization.

2214878904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2214878904 is about 47062.4999760956. The cubic root of 2214878904 is about 1303.5168882328.

The spelling of 2214878904 in words is "two billion, two hundred fourteen million, eight hundred seventy-eight thousand, nine hundred four".