Search a number
-
+
332030212020 = 223451317598963
BaseRepresentation
bin1001101010011101000…
…10101111011110110100
31011202000202102101110000
410311032202233132310
520414444213241040
6412311011431300
732663006143563
oct4651642573664
91152022371400
10332030212020
111188a4442701
12544242b5530
13254059b86a0
14120db06bbda
158984667130
hex4d4e8af7b4

332030212020 has 240 divisors, whose sum is σ = 1122476382720. Its totient is φ = 81674936064.

The previous prime is 332030212009. The next prime is 332030212043. The reversal of 332030212020 is 20212030233.

It is a happy number.

332030212020 is a `hidden beast` number, since 3 + 320 + 302 + 1 + 20 + 20 = 666.

It is a super-2 number, since 2×3320302120202 (a number of 24 digits) 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 = 332030211984 and 332030212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37040059 + ... + 37049021.

It is an arithmetic number, because the mean of its divisors is an integer number (4676984928).

Almost surely, 2332030212020 is an apocalyptic number.

332030212020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332030212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561238191360).

332030212020 is an abundant number, since it is smaller than the sum of its proper divisors (790446170700).

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

332030212020 is a wasteful number, since it uses less digits than its factorization.

332030212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10756 (or 10745 counting only the distinct ones).

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

Adding to 332030212020 its reverse (20212030233), we get a palindrome (352242242253).

The spelling of 332030212020 in words is "three hundred thirty-two billion, thirty million, two hundred twelve thousand, twenty".