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225280076 = 22741613217
BaseRepresentation
bin11010110110110…
…00000001001100
3120200220102011112
431123120001030
5430132430301
634204311152
75403564140
oct1533300114
9520812145
10225280076
1110618a28a
12635424b8
1337898b28
1421cc3220
1514b9e9bb
hexd6d804c

225280076 has 48 divisors (see below), whose sum is σ = 469261632. Its totient is φ = 92620800.

The previous prime is 225280067. The next prime is 225280079. The reversal of 225280076 is 670082522.

225280076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2252800762 = 101502225285131552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225280079) 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, 68420 + ... + 71636.

It is an arithmetic number, because the mean of its divisors is an integer number (9776284).

Almost surely, 2225280076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225280076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234630816).

225280076 is an abundant number, since it is smaller than the sum of its proper divisors (243981556).

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

225280076 is a wasteful number, since it uses less digits than its factorization.

225280076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 225280076 is about 15009.3329631933. The cubic root of 225280076 is about 608.4724621461.

It can be divided in two parts, 2252 and 80076, that added together give a palindrome (82328).

The spelling of 225280076 in words is "two hundred twenty-five million, two hundred eighty thousand, seventy-six".

Divisors: 1 2 4 7 14 28 41 61 82 122 164 244 287 427 574 854 1148 1708 2501 3217 5002 6434 10004 12868 17507 22519 35014 45038 70028 90076 131897 196237 263794 392474 527588 784948 923279 1373659 1846558 2747318 3693116 5494636 8045717 16091434 32182868 56320019 112640038 225280076