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2315445144 = 23323291091327
BaseRepresentation
bin1000101000000010…
…1110001110011000
312222100220210121120
42022000232032120
514220223221034
61021432005240
7111243646635
oct21200561630
95870823546
102315445144
11a89010231
12547530820
132ab9222ac
1417d72d18c
15d8422c49
hex8a02e398

2315445144 has 128 divisors (see below), whose sum is σ = 6310656000. Its totient is φ = 705729024.

The previous prime is 2315445103. The next prime is 2315445151. The reversal of 2315445144 is 4415445132.

It is a happy number.

It is a super-2 number, since 2×23154451442 = 10722572429746361472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744209 + ... + 1745535.

It is an arithmetic number, because the mean of its divisors is an integer number (49302000).

Almost surely, 22315445144 is an apocalyptic number.

2315445144 is a gapful number since it is divisible by the number (24) 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 2315445144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155328000).

2315445144 is an abundant number, since it is smaller than the sum of its proper divisors (3995210856).

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

2315445144 is a wasteful number, since it uses less digits than its factorization.

2315445144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1493 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 2315445144 is about 48119.0725596410. The cubic root of 2315445144 is about 1322.9542693021.

The spelling of 2315445144 in words is "two billion, three hundred fifteen million, four hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 109 116 138 174 184 218 232 276 327 348 436 552 654 667 696 872 1308 1327 1334 2001 2507 2616 2654 2668 3161 3981 4002 5014 5308 5336 6322 7521 7962 8004 9483 10028 10616 12644 15042 15924 16008 18966 20056 25288 30084 30521 31848 37932 38483 60168 61042 72703 75864 76966 91563 115449 122084 144643 145406 153932 183126 218109 230898 244168 289286 290812 307864 366252 433929 436218 461796 578572 581624 732504 867858 872436 885109 923592 1157144 1735716 1744872 1770218 2655327 3326789 3471432 3540436 4194647 5310654 6653578 7080872 8389294 9980367 10621308 12583941 13307156 16778588 19960734 21242616 25167882 26614312 33557176 39921468 50335764 79842936 96476881 100671528 192953762 289430643 385907524 578861286 771815048 1157722572 2315445144