Search a number
-
+
233224204020024 = 23377119552666333
BaseRepresentation
bin110101000001110110111101…
…110101010110100100111000
31010120210000102210000101120010
4311001312331311112210320
5221032121132212120044
62144005415322301520
7100060615123005150
oct6501667565264470
91116700383011503
10233224204020024
1168348914032808
12221a84b60578a0
13a019c42baa519
14418417c731760
151be6a6b8c2bb9
hexd41dbdd56938

233224204020024 has 64 divisors (see below), whose sum is σ = 675740148503040. Its totient is φ = 65696958875520.

The previous prime is 233224204019987. The next prime is 233224204020043. The reversal of 233224204020024 is 420020402422332.

It is a junction number, because it is equal to n+sod(n) for n = 233224204019973 and 233224204020000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9776321239 + ... + 9776345094.

It is an arithmetic number, because the mean of its divisors is an integer number (10558439820360).

Almost surely, 2233224204020024 is an apocalyptic number.

233224204020024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233224204020024 is an abundant number, since it is smaller than the sum of its proper divisors (442515944483016).

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

233224204020024 is a wasteful number, since it uses less digits than its factorization.

233224204020024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19552666420 (or 19552666416 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 233224204020024 its reverse (420020402422332), we get a palindrome (653244606442356).

The spelling of 233224204020024 in words is "two hundred thirty-three trillion, two hundred twenty-four billion, two hundred four million, twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2982 3976 5964 11928 19552666333 39105332666 58657998999 78210665332 117315997998 136868664331 156421330664 234631995996 273737328662 410605992993 469263991992 547474657324 821211985986 1094949314648 1388239309643 1642423971972 2776478619286 3284847943944 4164717928929 5552957238572 8329435857858 9717675167501 11105914477144 16658871715716 19435350335002 29153025502503 33317743431432 38870700670004 58306051005006 77741401340008 116612102010012 233224204020024