Search a number
-
+
225104940 = 223351392999
BaseRepresentation
bin11010110101011…
…01010000101100
3120200120111221000
431122231100230
5430111324230
634200440300
75402234424
oct1532552054
9520514830
10225104940
1110607a745
1263479090
13378371b8
1421c79484
1514b67b60
hexd6ad42c

225104940 has 96 divisors (see below), whose sum is σ = 705600000. Its totient is φ = 59576256.

The previous prime is 225104909. The next prime is 225104963. The reversal of 225104940 is 49401522.

225104940 is digitally balanced in base 2, 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73561 + ... + 76559.

It is an arithmetic number, because the mean of its divisors is an integer number (7350000).

Almost surely, 2225104940 is an apocalyptic number.

225104940 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 225104940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800000).

225104940 is an abundant number, since it is smaller than the sum of its proper divisors (480495060).

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

225104940 is a wasteful number, since it uses less digits than its factorization.

225104940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 225104940 is about 15003.4975922283. The cubic root of 225104940 is about 608.3147428276.

The spelling of 225104940 in words is "two hundred twenty-five million, one hundred four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 139 180 270 278 417 540 556 695 834 1251 1390 1668 2085 2502 2780 2999 3753 4170 5004 5998 6255 7506 8340 8997 11996 12510 14995 15012 17994 18765 25020 26991 29990 35988 37530 44985 53982 59980 75060 80973 89970 107964 134955 161946 179940 269910 323892 404865 416861 539820 809730 833722 1250583 1619460 1667444 2084305 2501166 3751749 4168610 5002332 6252915 7503498 8337220 11255247 12505830 15006996 18758745 22510494 25011660 37517490 45020988 56276235 75034980 112552470 225104940