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225773700 = 223522925951
BaseRepresentation
bin11010111010100…
…00100010000100
3120201211111021220
431131100202010
5430244224300
634223040340
75411021235
oct1535204204
9521744256
10225773700
11106497139
12637400b0
1337a0c709
1421db108c
1514c4ada0
hexd750884

225773700 has 72 divisors (see below), whose sum is σ = 675790080. Its totient is φ = 58128000.

The previous prime is 225773677. The next prime is 225773731. The reversal of 225773700 is 7377522.

It is a super-2 number, since 2×2257737002 = 101947527223380000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4276 + ... + 21675.

Almost surely, 2225773700 is an apocalyptic number.

225773700 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 225773700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337895040).

225773700 is an abundant number, since it is smaller than the sum of its proper divisors (450016380).

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

225773700 is a wasteful number, since it uses less digits than its factorization.

225773700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25997 (or 25990 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 33.

The square root of 225773700 is about 15025.7678672339. The cubic root of 225773700 is about 608.9165574940.

It can be divided in two parts, 2257 and 73700, that added together give a palindrome (75957).

The spelling of 225773700 in words is "two hundred twenty-five million, seven hundred seventy-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 25951 51902 77853 103804 129755 155706 259510 311412 389265 519020 648775 752579 778530 1297550 1505158 1557060 1946325 2257737 2595100 3010316 3762895 3892650 4515474 7525790 7785300 9030948 11288685 15051580 18814475 22577370 37628950 45154740 56443425 75257900 112886850 225773700