Search a number
-
+
2255113542 = 231124317207
BaseRepresentation
bin1000011001101010…
…0100110101000110
312211011101122012210
42012122210311012
514104302113132
61011434524250
7106612102023
oct20632446506
95734348183
102255113542
11a57a53200
1252b296686
1329c28a416
1417570654a
15d2ea6bcc
hex866a4d46

2255113542 has 48 divisors (see below), whose sum is σ = 4969714176. Its totient is φ = 681687600.

The previous prime is 2255113519. The next prime is 2255113603. The reversal of 2255113542 is 2453115522.

It is a super-3 number, since 3×22551135423 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309303 + ... + 316509.

It is an arithmetic number, because the mean of its divisors is an integer number (103535712).

Almost surely, 22255113542 is an apocalyptic number.

2255113542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255113542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484857088).

2255113542 is an abundant number, since it is smaller than the sum of its proper divisors (2714600634).

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

2255113542 is a wasteful number, since it uses less digits than its factorization.

2255113542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7665 (or 7654 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 2255113542 is about 47488.0357774461. The cubic root of 2255113542 is about 1311.3626327858.

The spelling of 2255113542 in words is "two billion, two hundred fifty-five million, one hundred thirteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 431 726 862 1293 2586 4741 7207 9482 14223 14414 21621 28446 43242 52151 79277 104302 156453 158554 237831 312906 475662 872047 1744094 2616141 3106217 5232282 6212434 9318651 18637302 34168387 68336774 102505161 205010322 375852257 751704514 1127556771 2255113542