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232022013030 = 233523291288367
BaseRepresentation
bin1101100000010110010…
…1101111010001100110
3211011220000100111022000
43120011211233101212
512300140113404110
6254331152550130
722522502366403
oct3300545572146
9734800314260
10232022013030
118a444417585
1238b73852346
1318b58598092
14b330cb52aa
15607e85d1c0
hex360596f466

232022013030 has 128 divisors (see below), whose sum is σ = 667889971200. Its totient is φ = 57141608832.

The previous prime is 232022012993. The next prime is 232022013031. The reversal of 232022013030 is 30310220232.

It is a happy number.

232022013030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 232022012994 and 232022013012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232022013031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464094 + ... + 824273.

It is an arithmetic number, because the mean of its divisors is an integer number (5217890400).

Almost surely, 2232022013030 is an apocalyptic number.

232022013030 is an abundant number, since it is smaller than the sum of its proper divisors (435867958170).

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

232022013030 is a wasteful number, since it uses less digits than its factorization.

232022013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288435 (or 1288429 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232022013030 its reverse (30310220232), we get a palindrome (262332233262).

The spelling of 232022013030 in words is "two hundred thirty-two billion, twenty-two million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 29 30 45 46 54 58 69 87 90 115 135 138 145 174 207 230 261 270 290 345 414 435 522 621 667 690 783 870 1035 1242 1305 1334 1566 2001 2070 2610 3105 3335 3915 4002 6003 6210 6670 7830 10005 12006 18009 20010 30015 36018 60030 90045 180090 1288367 2576734 3865101 6441835 7730202 11595303 12883670 19325505 23190606 29632441 34785909 37362643 38651010 57976515 59264882 69571818 74725286 88897323 112087929 115953030 148162205 173929545 177794646 186813215 224175858 266691969 296324410 336263787 347859090 373626430 444486615 533383938 560439645 672527574 800075907 859340789 888973230 1008791361 1120879290 1333459845 1600151814 1681318935 1718681578 2017582722 2578022367 2666919690 3362637870 4000379535 4296703945 5043956805 5156044734 7734067101 8000759070 8593407890 10087913610 12890111835 15468134202 23202201303 25780223670 38670335505 46404402606 77340671010 116011006515 232022013030