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22210021212 = 22317532577993
BaseRepresentation
bin10100101011110100…
…100000011101011100
32010022212001222102020
4110223310200131130
5330441231134322
614111513500140
71414246031301
oct245364403534
963285058366
1022210021212
119467a83735
12437a111650
13212c5076b2
141109a110a8
1589ecb705c
hex52bd2075c

22210021212 has 96 divisors (see below), whose sum is σ = 56131693632. Its totient is φ = 6808928256.

The previous prime is 22210021199. The next prime is 22210021219. The reversal of 22210021212 is 21212001222.

It is a junction number, because it is equal to n+sod(n) for n = 22210021191 and 22210021200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210021219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2774688 + ... + 2782680.

It is an arithmetic number, because the mean of its divisors is an integer number (584705142).

Almost surely, 222210021212 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 22210021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28065846816).

22210021212 is an abundant number, since it is smaller than the sum of its proper divisors (33921672420).

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

22210021212 is a wasteful number, since it uses less digits than its factorization.

22210021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8327 (or 8325 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22210021212 its reverse (21212001222), we get a palindrome (43422022434).

The spelling of 22210021212 in words is "twenty-two billion, two hundred ten million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 257 318 514 636 771 901 1028 1542 1802 2703 3084 3604 4369 5406 7993 8738 10812 13107 13621 15986 17476 23979 26214 27242 31972 40863 47958 52428 54484 81726 95916 135881 163452 231557 271762 407643 423629 463114 543524 694671 815286 847258 926228 1270887 1389342 1630572 1694516 2054201 2541774 2778684 4108402 5083548 6162603 7201693 8216804 12325206 14403386 21605079 24650412 28806772 34921417 43210158 69842834 86420316 104764251 108872653 139685668 209528502 217745306 326617959 419057004 435490612 653235918 1306471836 1850835101 3701670202 5552505303 7403340404 11105010606 22210021212