Search a number
-
+
224774660 = 225115917317
BaseRepresentation
bin11010110010111…
…00101000000100
3120122221201212102
431121130220010
5430020242120
634145411232
75366360465
oct1531345004
9518851772
10224774660
11105974590
1263339b18
133774ca76
1421bd0d6c
1514aeed75
hexd65ca04

224774660 has 48 divisors (see below), whose sum is σ = 523696320. Its totient is φ = 80346240.

The previous prime is 224774659. The next prime is 224774681. The reversal of 224774660 is 66477422.

224774660 = 4412 + 4422 + ... + 9122.

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, 4322 + ... + 21638.

It is an arithmetic number, because the mean of its divisors is an integer number (10910340).

Almost surely, 2224774660 is an apocalyptic number.

224774660 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 224774660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261848160).

224774660 is an abundant number, since it is smaller than the sum of its proper divisors (298921660).

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

224774660 is a wasteful number, since it uses less digits than its factorization.

224774660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17396 (or 17394 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The square root of 224774660 is about 14992.4867850534. The cubic root of 224774660 is about 608.0170853059.

The spelling of 224774660 in words is "two hundred twenty-four million, seven hundred seventy-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 6490 12980 17317 34634 69268 86585 173170 190487 346340 380974 761948 952435 1021703 1904870 2043406 3809740 4086812 5108515 10217030 11238733 20434060 22477466 44954932 56193665 112387330 224774660