Search a number
-
+
22500225024 = 21234738959
BaseRepresentation
bin10100111101000111…
…100011000000000000
32011002002010212012120
4110331013203000000
5332040024200044
614200401524240
71424401520454
oct247507430000
964062125176
1022500225024
1195a68770a2
12443b343680
132177685624
141136394664
158ba4dd519
hex53d1e3000

22500225024 has 104 divisors (see below), whose sum is σ = 61271301120. Its totient is φ = 7340310528.

The previous prime is 22500225023. The next prime is 22500225031. The reversal of 22500225024 is 42052200522.

It is a happy number.

It is a super-2 number, since 2×225002250242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22500224985 and 22500225003.

It is not an unprimeable number, because it can be changed into a prime (22500225023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558057 + ... + 597015.

Almost surely, 222500225024 is an apocalyptic number.

22500225024 is a gapful number since it is divisible by the number (24) 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 22500225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30635650560).

22500225024 is an abundant number, since it is smaller than the sum of its proper divisors (38771076096).

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

22500225024 is an equidigital number, since it uses as much as digits as its factorization.

22500225024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39033 (or 39011 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

Adding to 22500225024 its reverse (42052200522), we get a palindrome (64552425546).

The spelling of 22500225024 in words is "twenty-two billion, five hundred million, two hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 752 768 1024 1128 1504 1536 2048 2256 3008 3072 4096 4512 6016 6144 9024 12032 12288 18048 24064 36096 38959 48128 72192 77918 96256 116877 144384 155836 192512 233754 288768 311672 467508 577536 623344 935016 1246688 1831073 1870032 2493376 3662146 3740064 4986752 5493219 7324292 7480128 9973504 10986438 14648584 14960256 19947008 21972876 29297168 29920512 39894016 43945752 58594336 59841024 79788032 87891504 117188672 119682048 159576064 175783008 234377344 239364096 351566016 468754688 478728192 703132032 937509376 1406264064 1875018752 2812528128 3750037504 5625056256 7500075008 11250112512 22500225024