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226630032144 = 24344332173313
BaseRepresentation
bin1101001100010000110…
…0111101101100010000
3210122222020101111001020
43103010030331230100
512203114242012034
6252040140035440
722242050326455
oct3230414755420
9718866344036
10226630032144
118812782152a
1237b09b32b80
13184a9474c49
14ad7cb3982c
155d662c9249
hex34c433db10

226630032144 has 80 divisors (see below), whose sum is σ = 587142069312. Its totient is φ = 75326644224.

The previous prime is 226630032121. The next prime is 226630032173. The reversal of 226630032144 is 441230036622.

226630032144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2266300321442 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68404632 + ... + 68407944.

Almost surely, 2226630032144 is an apocalyptic number.

226630032144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226630032144 is an abundant number, since it is smaller than the sum of its proper divisors (360512037168).

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

226630032144 is a wasteful number, since it uses less digits than its factorization.

226630032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6984 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 226630032144 its reverse (441230036622), we get a palindrome (667860068766).

The spelling of 226630032144 in words is "two hundred twenty-six billion, six hundred thirty million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 443 886 1329 1772 2658 3217 3313 3544 5316 6434 6626 7088 9651 9939 10632 12868 13252 19302 19878 21264 25736 26504 38604 39756 51472 53008 77208 79512 154416 159024 1425131 1467659 2850262 2935318 4275393 4402977 5700524 5870636 8550786 8805954 10657921 11401048 11741272 17101572 17611908 21315842 22802096 23482544 31973763 34203144 35223816 42631684 63947526 68406288 70447632 85263368 127895052 170526736 255790104 511580208 4721459003 9442918006 14164377009 18885836012 28328754018 37771672024 56657508036 75543344048 113315016072 226630032144