Search a number
-
+
33222300110220 = 2235131716971476401
BaseRepresentation
bin1111000110111001010110…
…11001011000110110001100
311100122000120012211200201210
413203130223121120312030
513323303232312011340
6154354040341334420
76666142365405024
oct743345331306614
9140560505750653
1033222300110220
11a649553343891
123886855107410
13156cb073492c0
1482bd79d06a84
153c92c5602180
hex1e372b658d8c

33222300110220 has 192 divisors, whose sum is σ = 106133413712256. Its totient is φ = 7692209356800.

The previous prime is 33222300110161. The next prime is 33222300110269. The reversal of 33222300110220 is 2201100322233.

It is a happy number.

It is a super-2 number, since 2×332223001102202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21764020 + ... + 23240420.

It is an arithmetic number, because the mean of its divisors is an integer number (552778196418).

Almost surely, 233222300110220 is an apocalyptic number.

33222300110220 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 33222300110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53066706856128).

33222300110220 is an abundant number, since it is smaller than the sum of its proper divisors (72911113602036).

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

33222300110220 is a wasteful number, since it uses less digits than its factorization.

33222300110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478140 (or 1478138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 33222300110220 its reverse (2201100322233), we get a palindrome (35423400432453).

The spelling of 33222300110220 in words is "thirty-three trillion, two hundred twenty-two billion, three hundred million, one hundred ten thousand, two hundred twenty".