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2255204140 = 2257292272447
BaseRepresentation
bin1000011001101011…
…1010111100101100
312211011120020111021
42012122322330230
514104313013030
61011440503524
7106612630120
oct20632727454
95734506437
102255204140
11a58005282
1252b31aba4
1329c2bc727
1417572b580
15d2ec397a
hex866baf2c

2255204140 has 96 divisors (see below), whose sum is σ = 5626091520. Its totient is φ = 742957824.

The previous prime is 2255204117. The next prime is 2255204143. The reversal of 2255204140 is 414025522.

It is not an unprimeable number, because it can be changed into a prime (2255204143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920397 + ... + 922843.

It is an arithmetic number, because the mean of its divisors is an integer number (58605120).

Almost surely, 22255204140 is an apocalyptic number.

2255204140 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 2255204140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813045760).

2255204140 is an abundant number, since it is smaller than the sum of its proper divisors (3370887380).

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

2255204140 is a wasteful number, since it uses less digits than its factorization.

2255204140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2255204140 is about 47488.9896712912. The cubic root of 2255204140 is about 1311.3801936519.

Adding to 2255204140 its reverse (414025522), we get a palindrome (2669229662).

The spelling of 2255204140 in words is "two billion, two hundred fifty-five million, two hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 227 290 406 454 580 812 908 1015 1135 1589 2030 2270 2447 3178 4060 4540 4894 6356 6583 7945 9788 12235 13166 15890 17129 24470 26332 31780 32915 34258 46081 48940 65830 68516 70963 85645 92162 131660 141926 171290 184324 230405 283852 342580 354815 460810 496741 555469 709630 921620 993482 1110938 1419260 1986964 2221876 2483705 2777345 3888283 4967410 5554690 7776566 9934820 11109380 15553132 16108601 19441415 32217202 38882830 64434404 77765660 80543005 112760207 161086010 225520414 322172020 451040828 563801035 1127602070 2255204140