Search a number
-
+
22001101033032 = 2336112931170487
BaseRepresentation
bin1010000000010100001111…
…10011111100111001001000
32212220021200120002122000000
411000022013303330321020
510340431223331024112
6114443055530043000
74430345536114542
oct500120763747110
985807616078000
1022001101033032
117012683a69280
122573b64279460
13c3790599b034
14560c05038692
152824748507dc
hex140287cfce48

22001101033032 has 224 divisors, whose sum is σ = 67702851881280. Its totient is φ = 6644240369280.

The previous prime is 22001101033003. The next prime is 22001101033033. The reversal of 22001101033032 is 23033010110022.

22001101033032 is a `hidden beast` number, since 2 + 200 + 1 + 101 + 0 + 330 + 32 = 666.

It is a super-2 number, since 2×220011010330322 (a number of 27 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 = 22001101032996 and 22001101033014.

It is not an unprimeable number, because it can be changed into a prime (22001101033033) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18211293 + ... + 19381779.

It is an arithmetic number, because the mean of its divisors is an integer number (302244874470).

Almost surely, 222001101033032 is an apocalyptic number.

22001101033032 is a gapful number since it is divisible by the number (22) 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 22001101033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33851425940640).

22001101033032 is an abundant number, since it is smaller than the sum of its proper divisors (45701750848248).

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

22001101033032 is a wasteful number, since it uses less digits than its factorization.

22001101033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170815 (or 1170796 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22001101033032 its reverse (23033010110022), we get a palindrome (45034111143054).

The spelling of 22001101033032 in words is "twenty-two trillion, one billion, one hundred one million, thirty-three thousand, thirty-two".