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2263201162326 = 2321321245159753
BaseRepresentation
bin100000111011110001010…
…011010010010001010110
322000100201101021020101100
4200323301103102101112
5244040013444143301
64451411131210530
7322340143320366
oct40736123222126
98010641236340
102263201162326
117a2900066745
123067595a6a46
1313555a598300
147b77a6329a6
153dd0ec32286
hex20ef14d2456

2263201162326 has 72 divisors (see below), whose sum is σ = 5310333438696. Its totient is φ = 696302006400.

The previous prime is 2263201162153. The next prime is 2263201162333. The reversal of 2263201162326 is 6232611023622.

2263201162326 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 2 + 0 + 1 + 1 + 623 + 26 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37846066 + ... + 37905818.

It is an arithmetic number, because the mean of its divisors is an integer number (73754631093).

Almost surely, 22263201162326 is an apocalyptic number.

2263201162326 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2263201162326 is an abundant number, since it is smaller than the sum of its proper divisors (3047132276370).

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

2263201162326 is a wasteful number, since it uses less digits than its factorization.

2263201162326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72238 (or 72222 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 2263201162326 its reverse (6232611023622), we get a palindrome (8495812185948).

The spelling of 2263201162326 in words is "two trillion, two hundred sixty-three billion, two hundred one million, one hundred sixty-two thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 12451 24902 37353 59753 74706 112059 119506 161863 179259 224118 323726 358518 485589 537777 776789 971178 1075554 1456767 1553578 2104219 2330367 2913534 4208438 4660734 6312657 6991101 10098257 12625314 13982202 18937971 20196514 30294771 37875942 60589542 90884313 181768626 743984603 1487969206 2231953809 4463907618 6695861427 9671799839 13391722854 19343599678 29015399517 58030799034 87046198551 125733397907 174092397102 251466795814 377200193721 754400387442 1131600581163 2263201162326