Search a number
-
+
22214411113032 = 233231139160944501
BaseRepresentation
bin1010000110100001100100…
…00101010101001001001000
32220122200021111122102202100
411003100302011111021020
510402430103221104112
6115125054245233400
74451636546640525
oct503206205251110
986580244572670
1022214411113032
117095095a43596
1225a9375402860
13c51a6b6a8a98
1456b27cb2014c
15287cab5772dc
hex143432155248

22214411113032 has 192 divisors, whose sum is σ = 62591884992000. Its totient is φ = 7109804160000.

The previous prime is 22214411112977. The next prime is 22214411113061. The reversal of 22214411113032 is 23031111441222.

22214411113032 is a `hidden beast` number, since 2 + 2 + 214 + 411 + 1 + 1 + 3 + 0 + 32 = 666.

It is a super-2 number, since 2×222144111130322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22214411112987 and 22214411113005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499166782 + ... + 499211282.

It is an arithmetic number, because the mean of its divisors is an integer number (325999401000).

Almost surely, 222214411113032 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 22214411113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31295942496000).

22214411113032 is an abundant number, since it is smaller than the sum of its proper divisors (40377473878968).

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

22214411113032 is a wasteful number, since it uses less digits than its factorization.

22214411113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46292 (or 46285 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 22214411113032 its reverse (23031111441222), we get a palindrome (45245522554254).

The spelling of 22214411113032 in words is "twenty-two trillion, two hundred fourteen billion, four hundred eleven million, one hundred thirteen thousand, thirty-two".