Search a number
-
+
224874980 = 225111760127
BaseRepresentation
bin11010110011101…
…01000111100100
3120200010211110222
431121311013210
5430031444410
634151503512
75400256121
oct1531650744
9520124428
10224874980
11105a329a0
1263387b98
1337786625
1421c19748
1514b1e955
hexd6751e4

224874980 has 48 divisors (see below), whose sum is σ = 545481216. Its totient is φ = 76961280.

The previous prime is 224874959. The next prime is 224874983. The reversal of 224874980 is 89478422.

224874980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (224874983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26324 + ... + 33803.

It is an arithmetic number, because the mean of its divisors is an integer number (11364192).

Almost surely, 2224874980 is an apocalyptic number.

224874980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224874980 is an abundant number, since it is smaller than the sum of its proper divisors (320606236).

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

224874980 is a wasteful number, since it uses less digits than its factorization.

224874980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60164 (or 60162 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 224874980 is about 14995.8320876169. The cubic root of 224874980 is about 608.1075272946.

The spelling of 224874980 in words is "two hundred twenty-four million, eight hundred seventy-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 60127 120254 240508 300635 601270 661397 1022159 1202540 1322794 2044318 2645588 3306985 4088636 5110795 6613970 10221590 11243749 13227940 20443180 22487498 44974996 56218745 112437490 224874980