Search a number
-
+
222535331040 = 253511349112073
BaseRepresentation
bin1100111101000000100…
…0111010110011100000
3210021101212111010002210
43033100020322303200
512121223021043130
6250121544242120
722035430050411
oct3172010726340
9707355433083
10222535331040
1186416435a30
1237166770340
1317ca6046899
14aab0db3808
155bc6a995b0
hex33d023ace0

222535331040 has 192 divisors, whose sum is σ = 764994730752. Its totient is φ = 53928038400.

The previous prime is 222535331033. The next prime is 222535331063. The reversal of 222535331040 is 40133535222.

It is a super-2 number, since 2×2225353310402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 222535330989 and 222535331007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18426444 + ... + 18438516.

It is an arithmetic number, because the mean of its divisors is an integer number (3984347556).

Almost surely, 2222535331040 is an apocalyptic number.

222535331040 is a gapful number since it is divisible by the number (20) 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 222535331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382497365376).

222535331040 is an abundant number, since it is smaller than the sum of its proper divisors (542459399712).

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

222535331040 is a wasteful number, since it uses less digits than its factorization.

222535331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15593 (or 15585 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 222535331040 its reverse (40133535222), we get a palindrome (262668866262).

The spelling of 222535331040 in words is "two hundred twenty-two billion, five hundred thirty-five million, three hundred thirty-one thousand, forty".