Search a number
-
+
225368472 = 23374132719
BaseRepresentation
bin11010110111011…
…01100110011000
3120201001220102110
431123231212120
5430143242342
634210232320
75404412640
oct1533554630
9521056373
10225368472
1110623a73a
12635856a0
13378ca134
1421d07520
1514bbac9c
hexd6ed998

225368472 has 64 divisors (see below), whose sum is σ = 659635200. Its totient is φ = 62818560.

The previous prime is 225368459. The next prime is 225368477. The reversal of 225368472 is 274863522.

It is a super-2 number, since 2×2253684722 = 101581896343229568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 225368472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225368477) 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, 9472 + ... + 23247.

It is an arithmetic number, because the mean of its divisors is an integer number (10306800).

Almost surely, 2225368472 is an apocalyptic number.

It is an amenable number.

225368472 is an abundant number, since it is smaller than the sum of its proper divisors (434266728).

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

225368472 is a wasteful number, since it uses less digits than its factorization.

225368472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32776 (or 32772 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 225368472 is about 15012.2773755350. The cubic root of 225368472 is about 608.5520364244.

The spelling of 225368472 in words is "two hundred twenty-five million, three hundred sixty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3444 6888 32719 65438 98157 130876 196314 229033 261752 392628 458066 687099 785256 916132 1341479 1374198 1832264 2682958 2748396 4024437 5365916 5496792 8048874 9390353 10731832 16097748 18780706 28171059 32195496 37561412 56342118 75122824 112684236 225368472