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225060440 = 235114710883
BaseRepresentation
bin11010110101000…
…10011001011000
3120200111020212212
431122202121120
5430103413230
634155454252
75401660613
oct1532423130
9520436785
10225060440
1110604a270
1263457388
133781cb77
1421c6717a
1514b59895
hexd6a2658

225060440 has 64 divisors (see below), whose sum is σ = 564226560. Its totient is φ = 80091520.

The previous prime is 225060427. The next prime is 225060461. The reversal of 225060440 is 44060522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15239 + ... + 26121.

It is an arithmetic number, because the mean of its divisors is an integer number (8816040).

Almost surely, 2225060440 is an apocalyptic number.

225060440 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 225060440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282113280).

225060440 is an abundant number, since it is smaller than the sum of its proper divisors (339166120).

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

225060440 is a wasteful number, since it uses less digits than its factorization.

225060440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10952 (or 10948 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 225060440 is about 15002.0145313888. The cubic root of 225060440 is about 608.2746551688.

The spelling of 225060440 in words is "two hundred twenty-five million, sixty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 5170 10340 10883 20680 21766 43532 54415 87064 108830 119713 217660 239426 435320 478852 511501 598565 957704 1023002 1197130 2046004 2394260 2557505 4092008 4788520 5115010 5626511 10230020 11253022 20460040 22506044 28132555 45012088 56265110 112530220 225060440