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332224020 = 223254342923
BaseRepresentation
bin10011110011010…
…101011000010100
3212011010201200100
4103303111120110
51140022132040
652544414100
711142600102
oct2363253024
9764121610
10332224020
11160593907
1293317330
1353aa117b
14321a0c72
151e276b30
hex13cd5614

332224020 has 72 divisors (see below), whose sum is σ = 1031206176. Its totient is φ = 86530752.

The previous prime is 332224019. The next prime is 332224027. The reversal of 332224020 is 20422233.

It is a super-2 number, since 2×3322240202 = 220745598929920800, which contains 22 as substring.

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 = 332223984 and 332224002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332224027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13722 + ... + 29201.

It is an arithmetic number, because the mean of its divisors is an integer number (14322308).

Almost surely, 2332224020 is an apocalyptic number.

332224020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332224020 is an abundant number, since it is smaller than the sum of its proper divisors (698982156).

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

332224020 is a wasteful number, since it uses less digits than its factorization.

332224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42981 (or 42976 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 332224020 is about 18227.0134690245. The cubic root of 332224020 is about 692.5912646294.

Adding to 332224020 its reverse (20422233), we get a palindrome (352646253).

The spelling of 332224020 in words is "three hundred thirty-two million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 42923 85846 128769 171692 214615 257538 386307 429230 515076 643845 772614 858460 1287690 1545228 1845689 1931535 2575380 3691378 3863070 5537067 7382756 7726140 9228445 11074134 16611201 18456890 22148268 27685335 33222402 36913780 55370670 66444804 83056005 110741340 166112010 332224020