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20330223120 = 2432528236421
BaseRepresentation
bin10010111011110001…
…101001011000010000
31221110211220100012200
4102323301221120100
5313114014114440
613201203123200
71316542021344
oct227361513020
957424810180
1020330223120
118692976599
123b34673500
131bbcc2812c
14dac0c5624
157dec49c30
hex4bbc69610

20330223120 has 60 divisors (see below), whose sum is σ = 68275668396. Its totient is φ = 5421392640.

The previous prime is 20330223083. The next prime is 20330223131. The reversal of 20330223120 is 2132203302.

It is a happy number.

20330223120 is a `hidden beast` number, since 2 + 0 + 330 + 22 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12731962896 + 7598260224 = 112836^2 + 87168^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 20330223093 and 20330223102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14117491 + ... + 14118930.

Almost surely, 220330223120 is an apocalyptic number.

20330223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20330223120 is an abundant number, since it is smaller than the sum of its proper divisors (47945445276).

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

20330223120 is a wasteful number, since it uses less digits than its factorization.

20330223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28236440 (or 28236431 counting only the distinct ones).

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

Adding to 20330223120 its reverse (2132203302), we get a palindrome (22462426422).

The spelling of 20330223120 in words is "twenty billion, three hundred thirty million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 28236421 56472842 84709263 112945684 141182105 169418526 225891368 254127789 282364210 338837052 423546315 451782736 508255578 564728420 677674104 847092630 1016511156 1129456840 1270638945 1355348208 1694185260 2033022312 2258913680 2541277890 3388370520 4066044624 5082555780 6776741040 10165111560 20330223120