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225200000 = 2755563
BaseRepresentation
bin11010110110001…
…00011110000000
3120200202100022202
431123010132000
5430122400000
634202452332
75403111524
oct1533043600
9520670282
10225200000
11106135103
12635040a8
133786b54c
1421ca1d84
1514b85dd5
hexd6c4780

225200000 has 96 divisors (see below), whose sum is σ = 561760920. Its totient is φ = 89920000.

The previous prime is 225199981. The next prime is 225200033. The reversal of 225200000 is 2522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399719 + ... + 400281.

Almost surely, 2225200000 is an apocalyptic number.

225200000 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 225200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280880460).

225200000 is an abundant number, since it is smaller than the sum of its proper divisors (336560920).

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

225200000 is an frugal number, since it uses more digits than its factorization.

225200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 225200000 is about 15006.6651858433. The cubic root of 225200000 is about 608.4003595796.

Adding to 225200000 its reverse (2522), we get a palindrome (225202522).

The spelling of 225200000 in words is "two hundred twenty-five million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 563 625 640 800 1000 1126 1250 1600 2000 2252 2500 2815 3125 3200 4000 4504 5000 5630 6250 8000 9008 10000 11260 12500 14075 16000 18016 20000 22520 25000 28150 36032 40000 45040 50000 56300 70375 72064 80000 90080 100000 112600 140750 180160 200000 225200 281500 351875 360320 400000 450400 563000 703750 900800 1126000 1407500 1759375 1801600 2252000 2815000 3518750 4504000 5630000 7037500 9008000 11260000 14075000 22520000 28150000 45040000 56300000 112600000 225200000