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22056152660 = 22519891634001
BaseRepresentation
bin10100100010101001…
…100010111001010100
32002221010112122102222
4110202221202321110
5330132333341120
614044335521512
71410400130033
oct244251427124
962833478388
1022056152660
119399139a43
124336689298
132106682a09
1410d33da71a
15891521525
hex522a62e54

22056152660 has 96 divisors (see below), whose sum is σ = 49618396800. Its totient is φ = 8211456000.

The previous prime is 22056152659. The next prime is 22056152687. The reversal of 22056152660 is 6625165022.

It is a super-2 number, since 2×220561526602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22056152660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5510660 + ... + 5514660.

It is an arithmetic number, because the mean of its divisors is an integer number (516858300).

Almost surely, 222056152660 is an apocalyptic number.

22056152660 is a gapful number since it is divisible by the number (20) 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 22056152660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24809198400).

22056152660 is an abundant number, since it is smaller than the sum of its proper divisors (27562244140).

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

22056152660 is a wasteful number, since it uses less digits than its factorization.

22056152660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 22056152660 in words is "twenty-two billion, fifty-six million, one hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 163 178 190 326 356 380 445 652 815 890 1630 1691 1780 3097 3260 3382 4001 6194 6764 8002 8455 12388 14507 15485 16004 16910 20005 29014 30970 33820 40010 58028 61940 72535 76019 80020 145070 152038 275633 290140 304076 356089 380095 551266 652163 712178 760190 1102532 1304326 1378165 1424356 1520380 1780445 2608652 2756330 3260815 3560890 5512660 6521630 6765691 7121780 12391097 13043260 13531382 24782194 27062764 33828455 49564388 58042507 61955485 67656910 116085014 123910970 135313820 232170028 247821940 290212535 580425070 1102807633 1160850140 2205615266 4411230532 5514038165 11028076330 22056152660