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221022222012 = 2232532693311301
BaseRepresentation
bin1100110111010111110…
…0110111011010111100
3210010111102022012201200
43031311330313122330
512110123142101022
6245311453135500
721653064614004
oct3156574673274
9703442265650
10221022222012
118580a3117a9
1236a03a8a590
1317ac47148b7
14a9aa05b004
155b38d10bac
hex3375f376bc

221022222012 has 144 divisors (see below), whose sum is σ = 573519229920. Its totient is φ = 71742528000.

The previous prime is 221022221989. The next prime is 221022222061. The reversal of 221022222012 is 210222220122.

221022222012 is a `hidden beast` number, since 2 + 210 + 222 + 220 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169885762 + ... + 169887062.

It is an arithmetic number, because the mean of its divisors is an integer number (3982772430).

Almost surely, 2221022222012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221022222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286759614960).

221022222012 is an abundant number, since it is smaller than the sum of its proper divisors (352497007908).

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

221022222012 is a wasteful number, since it uses less digits than its factorization.

221022222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221022222012 its reverse (210222220122), we get a palindrome (431244442134).

It can be divided in two parts, 2 and 21022222012, that multiplied together give a palindrome (42044444024).

The spelling of 221022222012 in words is "two hundred twenty-one billion, twenty-two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 269 318 331 477 538 636 662 807 954 993 1076 1301 1324 1614 1908 1986 2421 2602 2979 3228 3903 3972 4842 5204 5958 7806 9684 11709 11916 14257 15612 17543 23418 28514 35086 42771 46836 52629 57028 68953 70172 85542 89039 105258 128313 137906 157887 171084 178078 206859 210516 256626 267117 275812 315774 349969 356156 413718 430631 513252 534234 620577 631548 699938 801351 827436 861262 1049907 1068468 1241154 1291893 1399876 1602702 1722524 2099814 2482308 2583786 3149721 3205404 3875679 4199628 4719067 5167572 6299442 7751358 9438134 12598884 14157201 15502716 18548357 18876268 22823443 28314402 37096714 42471603 45646886 55645071 56628804 68470329 74193428 84943206 91293772 111290142 115839739 136940658 166935213 169886412 205410987 222580284 231679478 273881316 333870426 347519217 410821974 463358956 667740852 695038434 821643948 1042557651 1390076868 2085115302 4170230604 6139506167 12279012334 18418518501 24558024668 36837037002 55255555503 73674074004 110511111006 221022222012