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233011223120 = 24513224049253
BaseRepresentation
bin1101100100000010001…
…1010001101001010000
3211021102221201120102202
43121000203101221100
512304201333114440
6255013251102332
722556143501004
oct3310043215120
9737387646382
10233011223120
118a901840785
12391aaba19a8
1318c854c7cb0
14b3c6414704
1560db60c615
hex36408d1a50

233011223120 has 40 divisors (see below), whose sum is σ = 583424257416. Its totient is φ = 86034912768.

The previous prime is 233011223119. The next prime is 233011223161. The reversal of 233011223120 is 21322110332.

It can be written as a sum of positive squares in 4 ways, for example, as 39615329296 + 193395893824 = 199036^2 + 439768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233011223092 and 233011223101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112023587 + ... + 112025666.

Almost surely, 2233011223120 is an apocalyptic number.

233011223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233011223120 is an abundant number, since it is smaller than the sum of its proper divisors (350413034296).

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

233011223120 is a wasteful number, since it uses less digits than its factorization.

233011223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224049279 (or 224049273 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 233011223120 its reverse (21322110332), we get a palindrome (254333333452).

It can be divided in two parts, 23301 and 1223120, that added together give a palindrome (1246421).

The spelling of 233011223120 in words is "two hundred thirty-three billion, eleven million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 224049253 448098506 896197012 1120246265 1792394024 2240492530 2912640289 3584788048 4480985060 5825280578 8961970120 11650561156 14563201445 17923940240 23301122312 29126402890 46602244624 58252805780 116505611560 233011223120