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225061040 = 24567199211
BaseRepresentation
bin11010110101000…
…10100010110000
3120200111021201002
431122202202300
5430103423130
634155501132
75401662431
oct1532424260
9520437632
10225061040
1110604a766
12634577a8
1337820219
1421c67488
1514b59b45
hexd6a28b0

225061040 has 80 divisors (see below), whose sum is σ = 536275200. Its totient is φ = 87816960.

The previous prime is 225061037. The next prime is 225061043. The reversal of 225061040 is 40160522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225061037) and next prime (225061043).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (225061043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066535 + ... + 1066745.

It is an arithmetic number, because the mean of its divisors is an integer number (6703440).

Almost surely, 2225061040 is an apocalyptic number.

225061040 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 225061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268137600).

225061040 is an abundant number, since it is smaller than the sum of its proper divisors (311214160).

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

225061040 is a wasteful number, since it uses less digits than its factorization.

225061040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 225061040 is about 15002.0345286898. The cubic root of 225061040 is about 608.2751957117.

The spelling of 225061040 in words is "two hundred twenty-five million, sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 199 211 268 335 398 422 536 670 796 844 995 1055 1072 1340 1592 1688 1990 2110 2680 3184 3376 3980 4220 5360 7960 8440 13333 14137 15920 16880 26666 28274 41989 53332 56548 66665 70685 83978 106664 113096 133330 141370 167956 209945 213328 226192 266660 282740 335912 419890 533320 565480 671824 839780 1066640 1130960 1679560 2813263 3359120 5626526 11253052 14066315 22506104 28132630 45012208 56265260 112530520 225061040