Search a number
-
+
22110032113200 = 2432526141675587
BaseRepresentation
bin1010000011011111001001…
…00111000010111000110000
32220021200212011010212000200
411001233210213002320300
510344222321210110300
6115005113013115200
74441253131036623
oct501574447027060
986250764125020
1022110032113200
1170548a27a2069
1225910a5028b00
13c44c758a9aa5
145661ba28ddba
152851ecba1200
hex141be49c2e30

22110032113200 has 90 divisors (see below), whose sum is σ = 76727953120884. Its totient is φ = 5896008562560.

The previous prime is 22110032113193. The next prime is 22110032113201. The reversal of 22110032113200 is 231123001122.

22110032113200 is a `hidden beast` number, since 2 + 21 + 1 + 0 + 0 + 321 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×221100321132002 (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 not an unprimeable number, because it can be changed into a prime (22110032113201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3070834194 + ... + 3070841393.

Almost surely, 222110032113200 is an apocalyptic number.

22110032113200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22110032113200 is an abundant number, since it is smaller than the sum of its proper divisors (54617921007684).

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

22110032113200 is a wasteful number, since it uses less digits than its factorization.

22110032113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6141675611 (or 6141675597 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22110032113200 its reverse (231123001122), we get a palindrome (22341155114322).

The spelling of 22110032113200 in words is "twenty-two trillion, one hundred ten billion, thirty-two million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 6141675587 12283351174 18425026761 24566702348 30708377935 36850053522 49133404696 55275080283 61416755870 73700107044 92125133805 98266809392 110550160566 122833511740 147400214088 153541889675 184250267610 221100321132 245667023480 276375401415 294800428176 307083779350 368500535220 442200642264 460625669025 491334046960 552750802830 614167558700 737001070440 884401284528 921251338050 1105501605660 1228335117400 1381877007075 1474002140880 1842502676100 2211003211320 2456670234800 2763754014150 3685005352200 4422006422640 5527508028300 7370010704400 11055016056600 22110032113200