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20233169401434 = 23111037194139557
BaseRepresentation
bin1001001100110111001101…
…10111111111011001011010
32122122021100100211100221120
410212123212313333121122
510123000012331321214
6111010553435350110
74155540541154103
oct446334667773132
978567310740846
1020233169401434
1164a09257164a0
1223293a75b2336
13b39c974b2262
144dd40d6893aa
152514a02daea9
hex1266e6dff65a

20233169401434 has 64 divisors (see below), whose sum is σ = 44635694837760. Its totient is φ = 6063290464320.

The previous prime is 20233169401387. The next prime is 20233169401439. The reversal of 20233169401434 is 43410496133202.

It is a super-2 number, since 2×202331694014342 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20233169401439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2817984 + ... + 6957540.

It is an arithmetic number, because the mean of its divisors is an integer number (697432731840).

Almost surely, 220233169401434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20233169401434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22317847418880).

20233169401434 is an abundant number, since it is smaller than the sum of its proper divisors (24402525436326).

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

20233169401434 is a wasteful number, since it uses less digits than its factorization.

20233169401434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140395.

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 20233169401434 in words is "twenty trillion, two hundred thirty-three billion, one hundred sixty-nine million, four hundred one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 103 206 309 618 719 1133 1438 2157 2266 3399 4314 6798 7909 15818 23727 47454 74057 148114 222171 444342 814627 1629254 2443881 4139557 4887762 8279114 12418671 24837342 45535127 91070254 136605381 273210762 426374371 852748742 1279123113 2558246226 2976341483 4690118081 5952682966 8929024449 9380236162 14070354243 17858048898 28140708486 32739756313 65479512626 98219268939 196438537878 306563172749 613126345498 919689518247 1839379036494 3372194900239 6744389800478 10116584700717 20233169401434