Search a number
-
+
220432155030 = 23651910315451
BaseRepresentation
bin1100110101001011000…
…1111100000110010110
3210001222021222201000000
43031102301330012112
512102421112430110
6245133134032130
721632341255053
oct3152261740626
9701867881000
10220432155030
118553722873a
123687a348646
1317a2c3b6239
14a95193c02a
155b021061c0
hex3352c7c196

220432155030 has 224 divisors, whose sum is σ = 632325507840. Its totient is φ = 55143892800.

The previous prime is 220432155029. The next prime is 220432155059. The reversal of 220432155030 is 30551234022.

It is a happy number.

220432155030 is a `hidden beast` number, since 2 + 20 + 43 + 21 + 550 + 30 = 666.

220432155030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220432154985 and 220432155003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14258805 + ... + 14274255.

Almost surely, 2220432155030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220432155030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316162753920).

220432155030 is an abundant number, since it is smaller than the sum of its proper divisors (411893352810).

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

220432155030 is a wasteful number, since it uses less digits than its factorization.

220432155030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15598 (or 15583 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 220432155030 its reverse (30551234022), we get a palindrome (250983389052).

The spelling of 220432155030 in words is "two hundred twenty billion, four hundred thirty-two million, one hundred fifty-five thousand, thirty".