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234402231400 = 23521826964153
BaseRepresentation
bin1101101001001101110…
…1100011010001101000
3211102000220011010001221
43122103131203101220
512320023432401100
6255403301151424
722635464043511
oct3322335432150
9742026133057
10234402231400
1190455a488a7
12395189bb574
1319147748b0c
14b4b9065a08
15616d7c801a
hex3693763468

234402231400 has 48 divisors (see below), whose sum is σ = 545023514700. Its totient is φ = 93754298880.

The previous prime is 234402231373. The next prime is 234402231403. The reversal of 234402231400 is 4132204432.

It is a happy number.

234402231400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 186971489604 + 47430741796 = 432402^2 + 217786^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (234402231403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3621724 + ... + 3685876.

Almost surely, 2234402231400 is an apocalyptic number.

234402231400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234402231400 is an abundant number, since it is smaller than the sum of its proper divisors (310621283300).

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

234402231400 is a wasteful number, since it uses less digits than its factorization.

234402231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82438 (or 82429 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 234402231400 its reverse (4132204432), we get a palindrome (238534435832).

The spelling of 234402231400 in words is "two hundred thirty-four billion, four hundred two million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 18269 36538 64153 73076 91345 128306 146152 182690 256612 320765 365380 456725 513224 641530 730760 913450 1283060 1603825 1826900 2566120 3207650 3653800 6415300 12830600 1172011157 2344022314 4688044628 5860055785 9376089256 11720111570 23440223140 29300278925 46880446280 58600557850 117201115700 234402231400