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2230131024 = 2432114013511
BaseRepresentation
bin1000010011101101…
…0001100101010000
312202102101101122100
42010323101211100
514031403143044
61005143240400
7106156541502
oct20473214520
95672341570
102230131024
11a4493a4a0
12522a49100
13297051174
14172281d72
15d0bbe869
hex84ed1950

2230131024 has 120 divisors (see below), whose sum is σ = 6827580864. Its totient is φ = 673920000.

The previous prime is 2230131011. The next prime is 2230131109. The reversal of 2230131024 is 4201310322.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2230130988 and 2230131006.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 633429 + ... + 636939.

Almost surely, 22230131024 is an apocalyptic number.

2230131024 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 2230131024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413790432).

2230131024 is an abundant number, since it is smaller than the sum of its proper divisors (4597449840).

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

2230131024 is a wasteful number, since it uses less digits than its factorization.

2230131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2230131024 is about 47224.2630858333. The cubic root of 2230131024 is about 1306.5021430830.

Adding to 2230131024 its reverse (4201310322), we get a palindrome (6431441346).

The spelling of 2230131024 in words is "two billion, two hundred thirty million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 401 528 792 802 1203 1584 1604 2406 3208 3511 3609 4411 4812 6416 7022 7218 8822 9624 10533 13233 14044 14436 17644 19248 21066 26466 28088 28872 31599 35288 38621 39699 42132 52932 56176 57744 63198 70576 77242 79398 84264 105864 115863 126396 154484 158796 168528 211728 231726 252792 308968 317592 347589 463452 505584 617936 635184 695178 926904 1390356 1407911 1853808 2780712 2815822 4223733 5561424 5631644 8447466 11263288 12671199 15487021 16894932 22526576 25342398 30974042 33789864 46461063 50684796 61948084 67579728 92922126 101369592 123896168 139383189 185844252 202739184 247792336 278766378 371688504 557532756 743377008 1115065512 2230131024