Search a number
-
+
225949104 = 24328831777
BaseRepresentation
bin11010111011110…
…11010110110000
3120202011101220100
431131323112300
5430320332404
634230512400
75412351513
oct1535732660
9522141810
10225949104
111065a69a7
1263805700
1337a714c4
1422018d7a
1514c82d39
hexd77b5b0

225949104 has 60 divisors (see below), whose sum is σ = 633416056. Its totient is φ = 75188736.

The previous prime is 225949099. The next prime is 225949169. The reversal of 225949104 is 401949522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126264 + ... + 128040.

Almost surely, 2225949104 is an apocalyptic number.

225949104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225949104 is an abundant number, since it is smaller than the sum of its proper divisors (407466952).

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

225949104 is a wasteful number, since it uses less digits than its factorization.

225949104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 225949104 is about 15031.6035072776. The cubic root of 225949104 is about 609.0742061372.

The spelling of 225949104 in words is "two hundred twenty-five million, nine hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 883 1766 1777 2649 3532 3554 5298 5331 7064 7108 7947 10596 10662 14128 14216 15894 15993 21192 21324 28432 31788 31986 42384 42648 63576 63972 85296 127152 127944 255888 1569091 3138182 4707273 6276364 9414546 12552728 14121819 18829092 25105456 28243638 37658184 56487276 75316368 112974552 225949104