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220033301130 = 232573137244457
BaseRepresentation
bin1100110011101100000…
…0011011101010001010
3210000221111110211022100
43030323000123222022
512101112011114010
6245025405134230
721616426125516
oct3147300335212
9700844424270
10220033301130
1185352075915
123678885a376
1317997886506
14a914995146
155acc0bc2c0
hex333b01ba8a

220033301130 has 96 divisors (see below), whose sum is σ = 584158792464. Its totient is φ = 57449115648.

The previous prime is 220033301027. The next prime is 220033301167. The reversal of 220033301130 is 31103330022.

220033301130 is a `hidden beast` number, since 2 + 200 + 3 + 330 + 1 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 151616005641 + 68417295489 = 389379^2 + 261567^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777862 + ... + 1022318.

Almost surely, 2220033301130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220033301130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292079396232).

220033301130 is an abundant number, since it is smaller than the sum of its proper divisors (364125491334).

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

220033301130 is a wasteful number, since it uses less digits than its factorization.

220033301130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244680 (or 244677 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 220033301130 its reverse (31103330022), we get a palindrome (251136631152).

The spelling of 220033301130 in words is "two hundred twenty billion, thirty-three million, three hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 137 146 219 274 365 411 438 657 685 730 822 1095 1233 1314 1370 2055 2190 2466 3285 4110 6165 6570 10001 12330 20002 30003 50005 60006 90009 100010 150015 180018 244457 300030 450045 488914 733371 900090 1222285 1466742 2200113 2444570 3666855 4400226 7333710 11000565 17845361 22001130 33490609 35690722 53536083 66981218 89226805 100471827 107072166 160608249 167453045 178453610 200943654 267680415 301415481 321216498 334906090 502359135 535360830 602830962 803041245 1004718270 1507077405 1606082490 2444814457 3014154810 4889628914 7334443371 12224072285 14668886742 22003330113 24448144570 36672216855 44006660226 73344433710 110016650565 220033301130