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235213306336 = 2553379365929
BaseRepresentation
bin1101101100001111001…
…1100011100111100000
3211111010102022222201101
43123003303203213200
512323204101300321
6300015553244144
722664543054461
oct3330363434740
9744112288641
10235213306336
1190831863468
1239704563654
13192467a8908
14b554a74d68
1561b9adb791
hex36c3ce39e0

235213306336 has 48 divisors (see below), whose sum is σ = 473059666800. Its totient is φ = 115082892288.

The previous prime is 235213306327. The next prime is 235213306337. The reversal of 235213306336 is 633603312532.

It is a super-3 number, since 3×2352133063363 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 235213306295 and 235213306304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235213306337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459820 + ... + 825748.

It is an arithmetic number, because the mean of its divisors is an integer number (9855409725).

Almost surely, 2235213306336 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 235213306336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236529833400).

235213306336 is an abundant number, since it is smaller than the sum of its proper divisors (237846360464).

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

235213306336 is a wasteful number, since it uses less digits than its factorization.

235213306336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366371 (or 366363 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 37.

Adding to 235213306336 its reverse (633603312532), we get a palindrome (868816618868).

The spelling of 235213306336 in words is "two hundred thirty-five billion, two hundred thirteen million, three hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 53 106 212 379 424 758 848 1516 1696 3032 6064 12128 20087 40174 80348 160696 321392 365929 642784 731858 1463716 2927432 5854864 11709728 19394237 38788474 77576948 138687091 155153896 277374182 310307792 554748364 620615584 1109496728 2218993456 4437986912 7350415823 14700831646 29401663292 58803326584 117606653168 235213306336