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2263401036 = 2233138319423
BaseRepresentation
bin1000011011101000…
…1100001001001100
312211201222200112000
42012322030021030
514113412313121
61012332312300
7110042406561
oct20672141114
95751880460
102263401036
11a616a3776
12532012690
132a0bcc670
14176862868
15d3a92526
hex86e8c24c

2263401036 has 96 divisors (see below), whose sum is σ = 6395934720. Its totient is φ = 688004928.

The previous prime is 2263401031. The next prime is 2263401059. The reversal of 2263401036 is 6301043622.

2263401036 is a `hidden beast` number, since 22 + 634 + 0 + 1 + 0 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2263401031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106821 + ... + 126243.

It is an arithmetic number, because the mean of its divisors is an integer number (66624320).

Almost surely, 22263401036 is an apocalyptic number.

2263401036 is a gapful number since it is divisible by the number (26) 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 2263401036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197967360).

2263401036 is an abundant number, since it is smaller than the sum of its proper divisors (4132533684).

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

2263401036 is a wasteful number, since it uses less digits than its factorization.

2263401036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19532 (or 19524 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2263401036 is about 47575.2145134418. The cubic root of 2263401036 is about 1312.9670788224.

Adding to 2263401036 its reverse (6301043622), we get a palindrome (8564444658).

The spelling of 2263401036 in words is "two billion, two hundred sixty-three million, four hundred one thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 83 108 117 156 166 234 249 332 351 468 498 702 747 996 1079 1404 1494 2158 2241 2988 3237 4316 4482 6474 8964 9711 12948 19422 19423 29133 38844 38846 58266 58269 77692 116532 116538 174807 233076 252499 349614 504998 524421 699228 757497 1009996 1048842 1514994 1612109 2097684 2272491 3029988 3224218 4544982 4836327 6448436 6817473 9089964 9672654 13634946 14508981 19345308 20957417 27269892 29017962 41914834 43526943 58035924 62872251 83829668 87053886 125744502 174107772 188616753 251489004 377233506 565850259 754467012 1131700518 2263401036