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222330141011424 = 2538327902879143
BaseRepresentation
bin110010100011010101000101…
…000100111110110111100000
31002011012112221210111110121210
4302203111011010332313200
5213120124112044331144
62104505020132150120
764554552104211045
oct6243250504766740
91064175853443553
10222330141011424
1164928757514466
1220b290a2468340
1397098472a0484
143cc8b9c9071cc
151aa84b5791ab9
hexca354513ede0

222330141011424 has 48 divisors (see below), whose sum is σ = 590648145720192. Its totient is φ = 73217154868608.

The previous prime is 222330141011411. The next prime is 222330141011467. The reversal of 222330141011424 is 424110141033222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 222330141011391 and 222330141011400.

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 7 ways as a sum of consecutive naturals, for example, 13951431604 + ... + 13951447539.

It is an arithmetic number, because the mean of its divisors is an integer number (12305169702504).

Almost surely, 2222330141011424 is an apocalyptic number.

222330141011424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

222330141011424 is an abundant number, since it is smaller than the sum of its proper divisors (368318004708768).

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

222330141011424 is a wasteful number, since it uses less digits than its factorization.

222330141011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27902879239 (or 27902879231 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 222330141011424 its reverse (424110141033222), we get a palindrome (646440282044646).

The spelling of 222330141011424 in words is "two hundred twenty-two trillion, three hundred thirty billion, one hundred forty-one million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 27902879143 55805758286 83708637429 111611516572 167417274858 223223033144 334834549716 446446066288 669669099432 892892132576 1339338198864 2315938968869 2678676397728 4631877937738 6947816906607 9263755875476 13895633813214 18527511750952 27791267626428 37055023501904 55582535252856 74110047003808 111165070505712 222330141011424