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220012132230 = 233511225132909
BaseRepresentation
bin1100110011100110111…
…1101011011110000110
3210000220000122100001000
43030321233223132012
512101041101212410
6245023331314130
721616051160562
oct3147157533606
9700800570030
10220012132230
1185341127360
123678174b946
1317993384037
14a911c446a2
155aca2d9dc0
hex3339beb786

220012132230 has 128 divisors (see below), whose sum is σ = 640339084800. Its totient is φ = 53310960000.

The previous prime is 220012132213. The next prime is 220012132231. The reversal of 220012132230 is 32231210022.

220012132230 is a `hidden beast` number, since 220 + 0 + 1 + 213 + 2 + 230 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220012132231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6669016 + ... + 6701924.

It is an arithmetic number, because the mean of its divisors is an integer number (5002649100).

Almost surely, 2220012132230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220012132230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320169542400).

220012132230 is an abundant number, since it is smaller than the sum of its proper divisors (420326952570).

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

220012132230 is a wasteful number, since it uses less digits than its factorization.

220012132230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35187 (or 35181 counting only the distinct ones).

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

Adding to 220012132230 its reverse (32231210022), we get a palindrome (252243342252).

The spelling of 220012132230 in words is "two hundred twenty billion, twelve million, one hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2251 2970 4502 6753 11255 13506 20259 22510 24761 32909 33765 40518 49522 60777 65818 67530 74283 98727 101295 121554 123805 148566 164545 197454 202590 222849 247610 296181 303885 329090 361999 371415 445698 493635 592362 607770 668547 723998 742830 888543 987270 1085997 1114245 1337094 1480905 1777086 1809995 2171994 2228490 2961810 3257991 3342735 3619990 4442715 5429985 6515982 6685470 8885430 9773973 10859970 16289955 19547946 32579910 48869865 74078159 97739730 148156318 222234477 370390795 444468954 666703431 740781590 814859749 1111172385 1333406862 1629719498 2000110293 2222344770 2444579247 3333517155 4000220586 4074298745 4889158494 6667034310 7333737741 8148597490 10000551465 12222896235 14667475482 20001102930 22001213223 24445792470 36668688705 44002426446 73337377410 110006066115 220012132230