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22646226264 = 2335329536029
BaseRepresentation
bin10101000101110100…
…011111110101011000
32011110020212111020220
4111011310133311120
5332334413220024
614223055120040
71431123514164
oct250564376530
964406774226
1022646226264
119671227a82
124480213020
13219b9b43ac
14114b91bca4
158c822ce79
hex545d1fd58

22646226264 has 64 divisors (see below), whose sum is σ = 57712888800. Its totient is φ = 7402576896.

The previous prime is 22646226257. The next prime is 22646226287. The reversal of 22646226264 is 46262264622.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3753202 + ... + 3759230.

Almost surely, 222646226264 is an apocalyptic number.

22646226264 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 22646226264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28856444400).

22646226264 is an abundant number, since it is smaller than the sum of its proper divisors (35066662536).

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

22646226264 is a wasteful number, since it uses less digits than its factorization.

22646226264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9044 (or 9040 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The spelling of 22646226264 in words is "twenty-two billion, six hundred forty-six million, two hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 2953 5906 6029 8859 11812 12058 17718 18087 23624 24116 35436 36174 48232 70872 72348 144696 156509 313018 319537 469527 626036 639074 939054 958611 1252072 1278148 1878108 1917222 2556296 3756216 3834444 7668888 17803637 35607274 53410911 71214548 106821822 142429096 213643644 427287288 943592761 1887185522 2830778283 3774371044 5661556566 7548742088 11323113132 22646226264