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233402420420 = 225131974556861
BaseRepresentation
bin1101100101011111011…
…1100100110011000100
3211022110012211110020122
43121113313210303010
512311002004423140
6255120143521112
722601633560631
oct3312767446304
9738405743218
10233402420420
118aa92644034
1239299bb9198
13190185769a0
14b422367188
156110b32ab5
hex3657de4cc4

233402420420 has 48 divisors (see below), whose sum is σ = 530528101488. Its totient is φ = 85741877760.

The previous prime is 233402420417. The next prime is 233402420441. The reversal of 233402420420 is 24024204332.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12945604 + 233389474816 = 3598^2 + 483104^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 233402420420.

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, 2227211 + ... + 2329650.

It is an arithmetic number, because the mean of its divisors is an integer number (11052668781).

Almost surely, 2233402420420 is an apocalyptic number.

233402420420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233402420420 is an abundant number, since it is smaller than the sum of its proper divisors (297125681068).

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

233402420420 is a wasteful number, since it uses less digits than its factorization.

233402420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557080 (or 4557078 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 233402420420 its reverse (24024204332), we get a palindrome (257426624752).

The spelling of 233402420420 in words is "two hundred thirty-three billion, four hundred two million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 788 985 1970 2561 3940 5122 10244 12805 25610 51220 4556861 9113722 18227444 22784305 45568610 59239193 91137220 118478386 236956772 296195965 592391930 897701617 1184783860 1795403234 3590806468 4488508085 8977016170 11670121021 17954032340 23340242042 46680484084 58350605105 116701210210 233402420420