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23214401440 = 2551094912711
BaseRepresentation
bin10101100111101011…
…111010011110100000
32012220211222210001221
4111213223322132200
5340020341321230
614355313104424
71451163104446
oct254753723640
965824883057
1023214401440
119932a1943a
1245ba558114
13225c619519
1411a317cb96
1590d06127a
hex567afa7a0

23214401440 has 96 divisors (see below), whose sum is σ = 55480360320. Its totient is φ = 9178444800.

The previous prime is 23214401437. The next prime is 23214401447. The reversal of 23214401440 is 4410441232.

It is not an unprimeable number, because it can be changed into a prime (23214401447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8561685 + ... + 8564395.

It is an arithmetic number, because the mean of its divisors is an integer number (577920420).

Almost surely, 223214401440 is an apocalyptic number.

23214401440 is a gapful number since it is divisible by the number (20) 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 23214401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27740180160).

23214401440 is an abundant number, since it is smaller than the sum of its proper divisors (32265958880).

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

23214401440 is a wasteful number, since it uses less digits than its factorization.

23214401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 23214401440 its reverse (4410441232), we get a palindrome (27624842672).

The spelling of 23214401440 in words is "twenty-three billion, two hundred fourteen million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 491 545 872 982 1090 1744 1964 2180 2455 2711 3488 3928 4360 4910 5422 7856 8720 9820 10844 13555 15712 17440 19640 21688 27110 39280 43376 53519 54220 78560 86752 107038 108440 214076 216880 267595 295499 428152 433760 535190 590998 856304 1070380 1181996 1331101 1477495 1712608 2140760 2363992 2662202 2954990 4281520 4727984 5324404 5909980 6655505 8563040 9455968 10648808 11819960 13311010 21297616 23639920 26622020 42595232 47279840 53244040 106488080 145090009 212976160 290180018 580360036 725450045 1160720072 1450900090 2321440144 2901800180 4642880288 5803600360 11607200720 23214401440