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2255122144 = 251135318149
BaseRepresentation
bin1000011001101010…
…0110111011100000
312211011102002000101
42012122212323200
514104302402034
61011435032144
7106612136062
oct20632467340
95734362011
102255122144
11a57a59710
1252b29b654
1329c291302
14175709732
15d2ea9514
hex866a6ee0

2255122144 has 48 divisors (see below), whose sum is σ = 4857375600. Its totient is φ = 1022095360.

The previous prime is 2255122061. The next prime is 2255122159. The reversal of 2255122144 is 4412215522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115182 + ... + 133330.

It is an arithmetic number, because the mean of its divisors is an integer number (101195325).

Almost surely, 22255122144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428687800).

2255122144 is an abundant number, since it is smaller than the sum of its proper divisors (2602253456).

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

2255122144 is a wasteful number, since it uses less digits than its factorization.

2255122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18523 (or 18515 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 2255122144 is about 47488.1263475408. The cubic root of 2255122144 is about 1311.3643001560.

Adding to 2255122144 its reverse (4412215522), we get a palindrome (6667337666).

The spelling of 2255122144 in words is "two billion, two hundred fifty-five million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 353 706 1412 2824 3883 5648 7766 11296 15532 18149 31064 36298 62128 72596 124256 145192 199639 290384 399278 580768 798556 1597112 3194224 6388448 6406597 12813194 25626388 51252776 70472567 102505552 140945134 205011104 281890268 563780536 1127561072 2255122144