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22210211020 = 22531611135197
BaseRepresentation
bin10100101011110101…
…001110110011001100
32010022212102121210011
4110223311032303030
5330441303223040
614111521523004
71414250451544
oct245365166314
963285377704
1022210211020
1194680a32a8
12437a1a3464
13212c572bca
141109a60324
1589ed033ea
hex52bd4eccc

22210211020 has 96 divisors (see below), whose sum is σ = 49377839616. Its totient is φ = 8380108800.

The previous prime is 22210210999. The next prime is 22210211021. The reversal of 22210211020 is 2011201222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22210211021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4271062 + ... + 4276258.

It is an arithmetic number, because the mean of its divisors is an integer number (514352496).

Almost surely, 222210211020 is an apocalyptic number.

22210211020 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 22210211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24688919808).

22210211020 is an abundant number, since it is smaller than the sum of its proper divisors (27167628596).

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

22210211020 is a wasteful number, since it uses less digits than its factorization.

22210211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22210211020 its reverse (2011201222), we get a palindrome (24221412242).

The spelling of 22210211020 in words is "twenty-two billion, two hundred ten million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 31 61 62 113 122 124 155 226 244 305 310 452 565 610 620 1130 1220 1891 2260 3503 3782 5197 6893 7006 7564 9455 10394 13786 14012 17515 18910 20788 25985 27572 34465 35030 37820 51970 68930 70060 103940 137860 161107 213683 317017 322214 427366 587261 634034 644428 805535 854732 1068415 1174522 1268068 1585085 1611070 2136830 2349044 2936305 3170170 3222140 4273660 5872610 6340340 9827527 11745220 18205091 19655054 35822921 36410182 39310108 49137635 71645842 72820364 91025455 98275270 143291684 179114605 182050910 196550540 358229210 364101820 716458420 1110510551 2221021102 4442042204 5552552755 11105105510 22210211020