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225222140 = 225112137159
BaseRepresentation
bin11010110110010…
…01110111111100
3120200210110200202
431123021313330
5430124102030
634203143032
75403233213
oct1533116774
9520713622
10225222140
1110614a800
1263514a78
1337878650
1421caa07a
1514b8c745
hexd6c9dfc

225222140 has 72 divisors (see below), whose sum is σ = 559940640. Its totient is φ = 75588480.

The previous prime is 225222139. The next prime is 225222163. The reversal of 225222140 is 41222522.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27881 + ... + 35039.

Almost surely, 2225222140 is an apocalyptic number.

225222140 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 225222140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279970320).

225222140 is an abundant number, since it is smaller than the sum of its proper divisors (334718500).

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

225222140 is a wasteful number, since it uses less digits than its factorization.

225222140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7203 (or 7190 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 225222140 is about 15007.4028399320. The cubic root of 225222140 is about 608.4202967355.

Adding to 225222140 its reverse (41222522), we get a palindrome (266444662).

The spelling of 225222140 in words is "two hundred twenty-five million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 6292 7159 7865 14318 15730 28636 31460 35795 71590 78749 93067 143180 157498 186134 314996 372268 393745 465335 787490 866239 930670 1023737 1574980 1732478 1861340 2047474 3464956 4094948 4331195 5118685 8662390 10237370 11261107 17324780 20474740 22522214 45044428 56305535 112611070 225222140