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20330200332 = 22321379577953
BaseRepresentation
bin10010111011110001…
…100011110100001100
31221110211212011221200
4102323301203310030
5313114012402312
613201202425500
71316541565041
oct227361436414
957424764850
1020330200332
118692960462
123b34662290
131bbcc1a950
14dac0bb1c8
157dec430dc
hex4bbc63d0c

20330200332 has 144 divisors (see below), whose sum is σ = 56199911040. Its totient is φ = 6159089664.

The previous prime is 20330200277. The next prime is 20330200333. The reversal of 20330200332 is 23300203302.

20330200332 is a `hidden beast` number, since 2 + 0 + 330 + 2 + 0 + 0 + 332 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20330200333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21332368 + ... + 21333320.

It is an arithmetic number, because the mean of its divisors is an integer number (390277160).

Almost surely, 220330200332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330200332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28099955520).

20330200332 is an abundant number, since it is smaller than the sum of its proper divisors (35869710708).

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

20330200332 is a wasteful number, since it uses less digits than its factorization.

20330200332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 20330200332 its reverse (23300203302), we get a palindrome (43630403634).

The spelling of 20330200332 in words is "twenty billion, three hundred thirty million, two hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 234 237 316 468 474 577 711 948 953 1027 1154 1422 1731 1906 2054 2308 2844 2859 3081 3462 3812 4108 5193 5718 6162 6924 7501 8577 9243 10386 11436 12324 12389 15002 17154 18486 20772 22503 24778 30004 34308 36972 37167 45006 45583 49556 67509 74334 75287 90012 91166 111501 135018 136749 148668 150574 182332 223002 225861 270036 273498 301148 410247 446004 451722 546996 549881 592579 677583 820494 903444 978731 1099762 1185158 1355166 1640988 1649643 1777737 1957462 2199524 2370316 2710332 2936193 3299286 3555474 3914924 4948929 5333211 5872386 6598572 7110948 7148453 8808579 9897858 10666422 11744772 14296906 17617158 19795716 21332844 21445359 28593812 35234316 42890718 43440599 64336077 85781436 86881198 128672154 130321797 173762396 257344308 260643594 390965391 521287188 564727787 781930782 1129455574 1563861564 1694183361 2258911148 3388366722 5082550083 6776733444 10165100166 20330200332