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225445220 = 2257111311261
BaseRepresentation
bin11010111000000…
…00010101100100
3120201012210200222
431130000111210
5430203221340
634212023512
75405152460
oct1534002544
9521183628
10225445220
11106292370
1263601b98
1337926050
1421d274a0
1514bd38b5
hexd700564

225445220 has 96 divisors (see below), whose sum is σ = 635717376. Its totient is φ = 64857600.

The previous prime is 225445201. The next prime is 225445247. The reversal of 225445220 is 22544522.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 225445220.

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 31 ways as a sum of consecutive naturals, for example, 14390 + ... + 25650.

It is an arithmetic number, because the mean of its divisors is an integer number (6622056).

Almost surely, 2225445220 is an apocalyptic number.

225445220 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 225445220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317858688).

225445220 is an abundant number, since it is smaller than the sum of its proper divisors (410272156).

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

225445220 is a wasteful number, since it uses less digits than its factorization.

225445220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11301 (or 11299 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 225445220 is about 15014.8333324083. The cubic root of 225445220 is about 608.6211082730.

Adding to 225445220 its reverse (22544522), we get a palindrome (247989742).

It can be divided in two parts, 2254 and 45220, that added together give a palindrome (47474).

The spelling of 225445220 in words is "two hundred twenty-five million, four hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 11261 20020 22522 45044 56305 78827 112610 123871 146393 157654 225220 247742 292786 315308 394135 495484 585572 619355 731965 788270 867097 1024751 1238710 1463930 1576540 1610323 1734194 2049502 2477420 2927860 3220646 3468388 4099004 4335485 5123755 6441292 8051615 8670970 10247510 11272261 16103230 17341940 20495020 22544522 32206460 45089044 56361305 112722610 225445220