Search a number
-
+
222103300032 = 26324321071949
BaseRepresentation
bin1100111011011001100…
…0110110011111000000
3210020021202112122222100
43032312120312133000
512114331421100112
6250011032310400
722021632620655
oct3166630663700
9706252478870
10222103300032
1186214582709
1237065b42400
1317c3769ba33
14aa6d871c2c
155b9dbaa2dc
hex33b66367c0

222103300032 has 252 divisors, whose sum is σ = 658197235800. Its totient is φ = 71600126976.

The previous prime is 222103299961. The next prime is 222103300039. The reversal of 222103300032 is 230003301222.

It is a happy number.

It is a super-2 number, since 2×2221033000322 (a number of 23 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 = 222103299978 and 222103300014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222103300039) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113956594 + ... + 113958542.

Almost surely, 2222103300032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222103300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329098617900).

222103300032 is an abundant number, since it is smaller than the sum of its proper divisors (436093935768).

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

222103300032 is a wasteful number, since it uses less digits than its factorization.

222103300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2104 counting only the distinct ones).

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

Adding to 222103300032 its reverse (230003301222), we get a palindrome (452106601254).

The spelling of 222103300032 in words is "two hundred twenty-two billion, one hundred three million, three hundred thousand, thirty-two".