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225052212 = 2237111511613
BaseRepresentation
bin11010110101000…
…00011000110100
3120200110211121010
431122200120310
5430103132322
634155352220
75401624620
oct1532403064
9520424533
10225052212
11106044070
1263452670
13378191b8
1421c64180
1514b5720c
hexd6a0634

225052212 has 96 divisors (see below), whose sum is σ = 659441664. Its totient is φ = 58032000.

The previous prime is 225052193. The next prime is 225052231. The reversal of 225052212 is 212250522.

It is an interprime number because it is at equal distance from previous prime (225052193) and next prime (225052231).

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 31 ways as a sum of consecutive naturals, for example, 138718 + ... + 140330.

It is an arithmetic number, because the mean of its divisors is an integer number (6869184).

Almost surely, 2225052212 is an apocalyptic number.

225052212 is a gapful number since it is divisible by the number (22) 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 225052212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329720832).

225052212 is an abundant number, since it is smaller than the sum of its proper divisors (434389452).

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

225052212 is a wasteful number, since it uses less digits than its factorization.

225052212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 225052212 is about 15001.7402990453. The cubic root of 225052212 is about 608.2672424269.

The spelling of 225052212 in words is "two hundred twenty-five million, fifty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 151 154 231 302 308 453 462 604 906 924 1057 1613 1661 1812 2114 3171 3226 3322 4228 4839 4983 6342 6452 6644 9678 9966 11291 11627 12684 17743 19356 19932 22582 23254 33873 34881 35486 45164 46508 53229 67746 69762 70972 106458 124201 135492 139524 212916 243563 248402 372603 487126 496804 730689 745206 974252 1461378 1490412 1704941 2679193 2922756 3409882 5114823 5358386 6819764 8037579 10229646 10716772 16075158 18754351 20459292 32150316 37508702 56263053 75017404 112526106 225052212