Search a number
-
+
22322012020 = 225711101143513
BaseRepresentation
bin10100110010011111…
…101101111101110100
32010121122210200220221
4110302133231331310
5331203413341040
614130554104124
71420105654150
oct246237557564
963548720827
1022322012020
119515215020
1243ab71b044
132149788c49
14111a844060
158a9a3974a
hex5327edf74

22322012020 has 96 divisors (see below), whose sum is σ = 59022141696. Its totient is φ = 6888576000.

The previous prime is 22322011981. The next prime is 22322012021. The reversal of 22322012020 is 2021022322.

It is a super-3 number, since 3×223220120203 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22322011985 and 22322012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22322012021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83784 + ... + 227296.

It is an arithmetic number, because the mean of its divisors is an integer number (614813976).

Almost surely, 222322012020 is an apocalyptic number.

22322012020 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 22322012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29511070848).

22322012020 is an abundant number, since it is smaller than the sum of its proper divisors (36700129676).

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

22322012020 is a wasteful number, since it uses less digits than its factorization.

22322012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143641 (or 143639 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22322012020 its reverse (2021022322), we get a palindrome (24343034342).

The spelling of 22322012020 in words is "twenty-two billion, three hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 31108 38885 77770 143513 155540 287026 574052 717565 1004591 1435130 1578643 2009182 2870260 3157286 4018364 5022955 6314572 7893215 10045910 11050501 14494813 15786430 20091820 22101002 28989626 31572860 44202004 55252505 57979252 72474065 101463691 110505010 144948130 159442943 202927382 221010020 289896260 318885886 405854764 507318455 637771772 797214715 1014636910 1116100601 1594429430 2029273820 2232201202 3188858860 4464402404 5580503005 11161006010 22322012020