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225028020 = 2235719163173
BaseRepresentation
bin11010110100110…
…10011110110100
3120200102121102010
431122122132310
5430101344040
634155044220
75401464240
oct1532323664
9520377363
10225028020
11106027978
1263440670
133780b199
1421c59420
1514b4ee80
hexd69a7b4

225028020 has 192 divisors, whose sum is σ = 767047680. Its totient is φ = 48148992.

The previous prime is 225028007. The next prime is 225028061. The reversal of 225028020 is 20820522.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1300654 + ... + 1300826.

It is an arithmetic number, because the mean of its divisors is an integer number (3995040).

Almost surely, 2225028020 is an apocalyptic number.

225028020 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 225028020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383523840).

225028020 is an abundant number, since it is smaller than the sum of its proper divisors (542019660).

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

225028020 is a wasteful number, since it uses less digits than its factorization.

225028020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 225028020 is about 15000.9339709233. The cubic root of 225028020 is about 608.2454464056.

Adding to 225028020 its reverse (20820522), we get a palindrome (245848542).

The spelling of 225028020 in words is "two hundred twenty-five million, twenty-eight thousand, twenty".