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4022114112204 = 22329457153116519
BaseRepresentation
bin111010100001111000101…
…011101101001011001100
3112020111210001021222220220
4322201320223231023030
51011344242203042304
612315422252111340
7563405510601336
oct72417053551314
915214701258826
104022114112204
111310850618461
1254b619a65550
1323238c492726
14dc958306456
156e957629ad9
hex3a878aed2cc

4022114112204 has 96 divisors (see below), whose sum is σ = 9736739980800. Its totient is φ = 1290719162880.

The previous prime is 4022114112197. The next prime is 4022114112221.

It is a happy number.

4022114112204 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40221141122042 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243475857 + ... + 243492375.

It is an arithmetic number, because the mean of its divisors is an integer number (101424374800).

Almost surely, 24022114112204 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 4022114112204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868369990400).

4022114112204 is an abundant number, since it is smaller than the sum of its proper divisors (5714625868596).

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

4022114112204 is a wasteful number, since it uses less digits than its factorization.

4022114112204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18543 (or 18541 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 4022114112204 in words is "four trillion, twenty-two billion, one hundred fourteen million, one hundred twelve thousand, two hundred four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 457 914 1371 1531 1828 2742 3062 4593 5484 6124 9186 13253 16519 18372 26506 33038 39759 44399 49557 53012 66076 79518 88798 99114 133197 159036 177596 198228 266394 479051 532788 699667 958102 1399334 1437153 1916204 2099001 2798668 2874306 4198002 5748612 7549183 8396004 15098366 20290343 22647549 25290589 30196732 40580686 45295098 50581178 60871029 75871767 81161372 90590196 101162356 121742058 151743534 218926307 243484116 303487068 437852614 656778921 733427081 875705228 1313557842 1466854162 2200281243 2627115684 2933708324 4400562486 8801124972 11557799173 23115598346 34673397519 46231196692 69346795038 138693590076 335176176017 670352352034 1005528528051 1340704704068 2011057056102 4022114112204