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22123100214 = 2343161257281
BaseRepresentation
bin10100100110101000…
…111011100000110110
32010002210111221020000
4110212220323200312
5330302003201324
614055130452130
71412142151305
oct244650734066
963083457200
1022123100214
119422a056a6
124354b94046
1321174c3057
1410dc26643c
158973479c9
hex526a3b836

22123100214 has 160 divisors (see below), whose sum is σ = 52398289152. Its totient is φ = 6967296000.

The previous prime is 22123100149. The next prime is 22123100221. The reversal of 22123100214 is 41200132122.

It is a happy number.

22123100214 is a `hidden beast` number, since 221 + 231 + 0 + 0 + 214 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78729754 + ... + 78730034.

Almost surely, 222123100214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22123100214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26199144576).

22123100214 is an abundant number, since it is smaller than the sum of its proper divisors (30275188938).

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

22123100214 is a wasteful number, since it uses less digits than its factorization.

22123100214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22123100214 its reverse (41200132122), we get a palindrome (63323232336).

The spelling of 22123100214 in words is "twenty-two billion, one hundred twenty-three million, one hundred thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 61 62 81 93 122 162 183 186 257 279 281 366 514 549 558 562 771 837 843 1098 1542 1647 1674 1686 1891 2313 2511 2529 3294 3782 4626 4941 5022 5058 5673 6939 7587 7967 8711 9882 11346 13878 15174 15677 15934 17019 17141 17422 20817 22761 23901 26133 31354 34038 34282 41634 45522 47031 47802 51057 51423 52266 71703 72217 78399 94062 102114 102846 141093 143406 144434 153171 154269 156798 215109 216651 235197 282186 306342 308538 423279 430218 433302 462807 470394 485987 531371 645327 649953 705591 846558 925614 971974 1062742 1269837 1290654 1299906 1388421 1411182 1457961 1594113 1949859 2238727 2539674 2776842 2915922 3188226 3899718 4373883 4405237 4477454 4782339 5849577 6716181 8747766 8810474 9564678 11699154 13121649 13215711 13432362 14347017 20148543 26243298 26431422 28694034 39364947 39647133 40297086 43041051 60445629 78729894 79294266 86082102 118941399 120891258 136562347 181336887 237882798 273124694 356824197 362673774 409687041 713648394 819374082 1229061123 2458122246 3687183369 7374366738 11061550107 22123100214