Search a number
-
+
33220230312000 = 263535772398919
BaseRepresentation
bin1111000110110101100000…
…00001101111000001000000
311100121211012222011001100110
413203122300001233001000
513323240012424441000
6154353055122351320
76666040163406624
oct743326001570100
9140554188131313
1033220230312000
11a648690a63846
123886377abb540
13156c8675a4224
1482bc2107d184
153c9203a53850
hex1e36b006f040

33220230312000 has 224 divisors, whose sum is σ = 109883355828480. Its totient is φ = 8843371315200.

The previous prime is 33220230311981. The next prime is 33220230312007. The reversal of 33220230312000 is 21303202233.

It is a super-2 number, since 2×332202303120002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33220230312007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12648541 + ... + 15047459.

Almost surely, 233220230312000 is an apocalyptic number.

33220230312000 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 33220230312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54941677914240).

33220230312000 is an abundant number, since it is smaller than the sum of its proper divisors (76663125516480).

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

33220230312000 is a wasteful number, since it uses less digits than its factorization.

33220230312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399526 (or 2399506 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 33220230312000 its reverse (21303202233), we get a palindrome (33241533514233).

The spelling of 33220230312000 in words is "thirty-three trillion, two hundred twenty billion, two hundred thirty million, three hundred twelve thousand".