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2255064440 = 235237433299
BaseRepresentation
bin1000011001101001…
…1000110101111000
312211011022010212012
42012122120311320
514104244030230
61011433505052
7106611505616
oct20632306570
95734263765
102255064440
11a57a1a322
1252b272188
1329c270c75
141756d26b6
15d2e97395
hex86698d78

2255064440 has 64 divisors (see below), whose sum is σ = 5303232000. Its totient is φ = 861384832.

The previous prime is 2255064431. The next prime is 2255064473. The reversal of 2255064440 is 444605522.

It is a junction number, because it is equal to n+sod(n) for n = 2255064397 and 2255064406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681911 + ... + 685209.

It is an arithmetic number, because the mean of its divisors is an integer number (82863000).

Almost surely, 22255064440 is an apocalyptic number.

2255064440 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 2255064440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651616000).

2255064440 is an abundant number, since it is smaller than the sum of its proper divisors (3048167560).

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

2255064440 is a wasteful number, since it uses less digits than its factorization.

2255064440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 2255064440 is about 47487.5187812545. The cubic root of 2255064440 is about 1311.3531150100.

Adding to 2255064440 its reverse (444605522), we get a palindrome (2699669962).

The spelling of 2255064440 in words is "two billion, two hundred fifty-five million, sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 743 920 1486 2972 3299 3715 5944 6598 7430 13196 14860 16495 17089 26392 29720 32990 34178 65980 68356 75877 85445 131960 136712 151754 170890 303508 341780 379385 607016 683560 758770 1517540 2451157 3035080 4902314 9804628 12255785 19609256 24511570 49023140 56376611 98046280 112753222 225506444 281883055 451012888 563766110 1127532220 2255064440