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1020225114 = 232175715839
BaseRepresentation
bin111100110011110…
…110011001011010
32122002201210202100
4330303312121122
54042134200424
6245122544230
734165525146
oct7463663132
92562653670
101020225114
11483988257
12245808076
1313349bbcc
14996d4226
155e878dc9
hex3ccf665a

1020225114 has 48 divisors (see below), whose sum is σ = 2345016960. Its totient is φ = 319455360.

The previous prime is 1020225113. The next prime is 1020225119. The reversal of 1020225114 is 4115220201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (1020225113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171807 + ... + 177645.

It is an arithmetic number, because the mean of its divisors is an integer number (48854520).

Almost surely, 21020225114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020225114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172508480).

1020225114 is an abundant number, since it is smaller than the sum of its proper divisors (1324791846).

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

1020225114 is a wasteful number, since it uses less digits than its factorization.

1020225114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6435 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1020225114 is about 31940.9629472876. The cubic root of 1020225114 is about 1006.6967579902.

Adding to 1020225114 its reverse (4115220201), we get a palindrome (5135445315).

The spelling of 1020225114 in words is "one billion, twenty million, two hundred twenty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 571 1142 1713 3426 5139 5839 9707 10278 11678 17517 19414 29121 35034 52551 58242 87363 99263 105102 174726 198526 297789 595578 893367 1786734 3334069 6668138 10002207 20004414 30006621 56679173 60013242 113358346 170037519 340075038 510112557 1020225114