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225140020 = 22574161643
BaseRepresentation
bin11010110101101…
…01110100110100
3120200122022001021
431122311310310
5430113440040
634201310524
75402441620
oct1532656464
9520568037
10225140020
111060a4036
1263495444
133784a161
1421c88180
1514b7324a
hexd6b5d34

225140020 has 96 divisors (see below), whose sum is σ = 563463936. Its totient is φ = 73958400.

The previous prime is 225140017. The next prime is 225140051. The reversal of 225140020 is 20041522.

It is a junction number, because it is equal to n+sod(n) for n = 225139976 and 225140003.

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, 349819 + ... + 350461.

It is an arithmetic number, because the mean of its divisors is an integer number (5869416).

Almost surely, 2225140020 is an apocalyptic number.

225140020 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 225140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281731968).

225140020 is an abundant number, since it is smaller than the sum of its proper divisors (338323916).

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

225140020 is a wasteful number, since it uses less digits than its factorization.

225140020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 225140020 is about 15004.6666074258. Note that the first 4 decimals coincide. The cubic root of 225140020 is about 608.3463407907.

Adding to 225140020 its reverse (20041522), we get a palindrome (245181542).

The spelling of 225140020 in words is "two hundred twenty-five million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 61 70 82 122 140 164 205 244 287 305 410 427 574 610 643 820 854 1148 1220 1286 1435 1708 2135 2501 2572 2870 3215 4270 4501 5002 5740 6430 8540 9002 10004 12505 12860 17507 18004 22505 25010 26363 35014 39223 45010 50020 52726 70028 78446 87535 90020 105452 131815 156892 175070 184541 196115 263630 274561 350140 369082 392230 527260 549122 738164 784460 922705 1098244 1372805 1608143 1845410 2745610 3216286 3690820 5491220 6432572 8040715 11257001 16081430 22514002 32162860 45028004 56285005 112570010 225140020