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212210022222222 = 232337419971016731
BaseRepresentation
bin110000010000000011111110…
…111111100000100110001110
31000211101002011022120111010220
4300100003332333200212032
5210303322111142102342
62031155534404412210
762461445114632023
oct6020037677404616
91024332138514126
10212210022222222
1161686846271232
121b9738830a7066
13915441c468b2b
143a5903c78d54a
15198010a2315ec
hexc100fefe098e

212210022222222 has 128 divisors (see below), whose sum is σ = 466404152675328. Its totient is φ = 64162332748800.

The previous prime is 212210022222217. The next prime is 212210022222239. The reversal of 212210022222222 is 222222220012212.

212210022222222 is a modest number, since divided by 22222222 gives 2122100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 212210022222192 and 212210022222201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208209597 + ... + 209226327.

It is an arithmetic number, because the mean of its divisors is an integer number (3643782442776).

Almost surely, 2212210022222222 is an apocalyptic number.

212210022222222 is an abundant number, since it is smaller than the sum of its proper divisors (254194130453106).

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

212210022222222 is a wasteful number, since it uses less digits than its factorization.

212210022222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017834.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 212210022222222 its reverse (222222220012212), we get a palindrome (434432242234434).

The spelling of 212210022222222 in words is "two hundred twelve trillion, two hundred ten billion, twenty-two million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 23 37 41 46 69 74 82 111 123 138 222 246 851 943 997 1517 1702 1886 1994 2553 2829 2991 3034 4551 5106 5658 5982 9102 22931 34891 36889 40877 45862 68793 69782 73778 81754 104673 110667 122631 137586 209346 221334 245262 848447 940171 1016731 1512449 1696894 1880342 2033462 2545341 2820513 3024898 3050193 4537347 5090682 5641026 6100386 9074694 23384813 34786327 37619047 41685971 46769626 69572654 70154439 75238094 83371942 104358981 112857141 125057913 140308878 208717962 225714282 250115826 865238081 958777333 1013680807 1542380927 1730476162 1917554666 2027361614 2595714243 2876331999 3041042421 3084761854 4627142781 5191428486 5752663998 6082084842 9254285562 23314658561 35474761321 37506189859 41560913087 46629317122 69943975683 70949522642 75012379718 83121826174 106424283963 112518569577 124682739261 139887951366 212848567926 225037139154 249365478522 862642366757 955901001001 1537753784219 1725284733514 1911802002002 2587927100271 2867703003003 3075507568438 4613261352657 5175854200542 5735406006006 9226522705314 35368337037037 70736674074074 106105011111111 212210022222222