Search a number
-
+
224112120 = 23351867601
BaseRepresentation
bin11010101101110…
…10110111111000
3120121201002000220
431112322313320
5424333041440
634123300040
75360631051
oct1526726770
9517632026
10224112120
11105561831
126307a620
133757a32b
1421a9b728
1514a1d8d0
hexd5badf8

224112120 has 32 divisors (see below), whose sum is σ = 672336720. Its totient is φ = 59763200.

The previous prime is 224112089. The next prime is 224112131. The reversal of 224112120 is 21211422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 224112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933681 + ... + 933920.

Almost surely, 2224112120 is an apocalyptic number.

224112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224112120 is an abundant number, since it is smaller than the sum of its proper divisors (448224600).

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

224112120 is a wasteful number, since it uses less digits than its factorization.

224112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867615 (or 1867611 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 224112120 is about 14970.3747448085. The cubic root of 224112120 is about 607.4191055557.

Adding to 224112120 its reverse (21211422), we get a palindrome (245323542).

It can be divided in two parts, 22411 and 2120, that added together give a triangular number (24531 = T221).

The spelling of 224112120 in words is "two hundred twenty-four million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1867601 3735202 5602803 7470404 9338005 11205606 14940808 18676010 22411212 28014015 37352020 44822424 56028030 74704040 112056060 224112120