Search a number
-
+
22000120032 = 2531127775211
BaseRepresentation
bin10100011111010011…
…110011000011100000
32002210020002220010110
4110133103303003200
5330024012320112
614035014531320
71406116635432
oct243723630340
962706086113
1022000120032
11936a548890
12431b966b40
1320c7b94807
1410c9bb2652
1588b65413c
hex51f4f30e0

22000120032 has 96 divisors (see below), whose sum is σ = 63228622464. Its totient is φ = 6642547200.

The previous prime is 22000120027. The next prime is 22000120039. The reversal of 22000120032 is 23002100022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×220001200324 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000120039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254907 + ... + 330117.

It is an arithmetic number, because the mean of its divisors is an integer number (658631484).

Almost surely, 222000120032 is an apocalyptic number.

22000120032 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 22000120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31614311232).

22000120032 is an abundant number, since it is smaller than the sum of its proper divisors (41228502432).

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

22000120032 is a wasteful number, since it uses less digits than its factorization.

22000120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75512 (or 75504 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 22000120032 its reverse (23002100022), we get a palindrome (45002220054).

The spelling of 22000120032 in words is "twenty-two billion, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 277 352 528 554 831 1056 1108 1662 2216 3047 3324 4432 6094 6648 8864 9141 12188 13296 18282 24376 26592 36564 48752 73128 75211 97504 146256 150422 225633 292512 300844 451266 601688 827321 902532 1203376 1654642 1805064 2406752 2481963 3309284 3610128 4963926 6618568 7220256 9927852 13237136 19855704 20833447 26474272 39711408 41666894 62500341 79422816 83333788 125000682 166667576 229167917 250001364 333335152 458335834 500002728 666670304 687503751 916671668 1000005456 1375007502 1833343336 2000010912 2750015004 3666686672 5500030008 7333373344 11000060016 22000120032