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212223320022 = 237293727117377
BaseRepresentation
bin1100010110100101111…
…1101101111111010110
3202021210012121200022210
43011221133231333112
511434113132220042
6241254414134250
721222043312350
oct3055137557726
9667705550283
10212223320022
118200459347a
12351691b1386
131702181460c
14a3b36320d0
1557c1608a9c
hex31697edfd6

212223320022 has 128 divisors (see below), whose sum is σ = 517302743040. Its totient is φ = 56748625920.

The previous prime is 212223320009. The next prime is 212223320027. The reversal of 212223320022 is 220023322212.

It is a super-2 number, since 2×2122233200222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212223320027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12204198 + ... + 12221574.

It is an arithmetic number, because the mean of its divisors is an integer number (4041427680).

Almost surely, 2212223320022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212223320022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258651371520).

212223320022 is an abundant number, since it is smaller than the sum of its proper divisors (305079423018).

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

212223320022 is a wasteful number, since it uses less digits than its factorization.

212223320022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17726.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 212223320022 its reverse (220023322212), we get a palindrome (432246642234).

The spelling of 212223320022 in words is "two hundred twelve billion, two hundred twenty-three million, three hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 29 37 42 58 74 87 111 174 203 222 259 271 406 518 542 609 777 813 1073 1218 1554 1626 1897 2146 3219 3794 5691 6438 7511 7859 10027 11382 15022 15718 17377 20054 22533 23577 30081 34754 45066 47154 52131 55013 60162 70189 104262 110026 121639 140378 165039 210567 243278 290783 330078 364917 421134 503933 581566 642949 729834 872349 1007866 1285898 1511799 1744698 1928847 2035481 3023598 3527531 3857694 4070962 4500643 4709167 6106443 7055062 9001286 9418334 10582593 12212886 13501929 14127501 18645521 21165186 27003858 28255002 32964169 37291042 55936563 65928338 98892507 111873126 130518647 136565843 174239179 197785014 261037294 273131686 348478358 391555941 409697529 522717537 783111882 819395058 955960901 1045435074 1219674253 1911921802 2439348506 2867882703 3659022759 5052936191 5735765406 7318045518 10105872382 15158808573 30317617146 35370553337 70741106674 106111660011 212223320022