Search a number
-
+
225504120 = 23354739983
BaseRepresentation
bin11010111000011…
…10101101111000
3120201022210111110
431130032231320
5430212112440
634213200320
75405516262
oct1534165570
9521283443
10225504120
11106322646
12636300a0
1337946aba
1421d40b32
1514be6080
hexd70eb78

225504120 has 64 divisors (see below), whose sum is σ = 690923520. Its totient is φ = 58853504.

The previous prime is 225504109. The next prime is 225504131. The reversal of 225504120 is 21405522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225504109) and next prime (225504131).

It is a congruent number.

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, 14352 + ... + 25631.

It is an arithmetic number, because the mean of its divisors is an integer number (10795680).

Almost surely, 2225504120 is an apocalyptic number.

225504120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225504120 is an abundant number, since it is smaller than the sum of its proper divisors (465419400).

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

225504120 is a wasteful number, since it uses less digits than its factorization.

225504120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40044 (or 40040 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 225504120 is about 15016.7945980492. The cubic root of 225504120 is about 608.6741066050.

Adding to 225504120 its reverse (21405522), we get a palindrome (246909642).

The spelling of 225504120 in words is "two hundred twenty-five million, five hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 39983 79966 119949 159932 199915 239898 319864 399830 479796 599745 799660 959592 1199490 1599320 1879201 2398980 3758402 4797960 5637603 7516804 9396005 11275206 15033608 18792010 22550412 28188015 37584020 45100824 56376030 75168040 112752060 225504120