Search a number
-
+
332200022220 = 22325112918793079
BaseRepresentation
bin1001101010110001010…
…10100001000011001100
31011202110120221122020200
410311120222201003030
520420321201202340
6412335515213500
733000140412213
oct4653052410314
91152416848220
10332200022220
11118981285610
1254471147290
1325431c324b1
141211583207a
15899450b330
hex4d58aa10cc

332200022220 has 288 divisors, whose sum is σ = 1138161024000. Its totient is φ = 77689704960.

The previous prime is 332200022171. The next prime is 332200022257. The reversal of 332200022220 is 22220002233.

It is a super-2 number, since 2×3322000222202 (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 = 332200022193 and 332200022202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107890641 + ... + 107893719.

It is an arithmetic number, because the mean of its divisors is an integer number (3951948000).

Almost surely, 2332200022220 is an apocalyptic number.

332200022220 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 332200022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569080512000).

332200022220 is an abundant number, since it is smaller than the sum of its proper divisors (805961001780).

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

332200022220 is a wasteful number, since it uses less digits than its factorization.

332200022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 5008 counting only the distinct ones).

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

Adding to 332200022220 its reverse (22220002233), we get a palindrome (354420024453).

The spelling of 332200022220 in words is "three hundred thirty-two billion, two hundred million, twenty-two thousand, two hundred twenty".