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235302500000 = 255794121
BaseRepresentation
bin1101101100100100011…
…1110011011010100000
3211111100122011111102102
43123021013303122200
512323344420000000
6300032501105532
723000005151351
oct3331107633240
9744318144372
10235302500000
1190878143a37
123972a3b82a8
131925c107829
14b562851d28
1561c28593d5
hex36c91f36a0

235302500000 has 96 divisors (see below), whose sum is σ = 579069416016. Its totient is φ = 94120000000.

The previous prime is 235302499807. The next prime is 235302500021. The reversal of 235302500000 is 5203532.

235302500000 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 8 ways, for example, as 223876600336 + 11425899664 = 473156^2 + 106892^2 .

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2452940 + ... + 2547060.

Almost surely, 2235302500000 is an apocalyptic number.

235302500000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235302500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289534708008).

235302500000 is an abundant number, since it is smaller than the sum of its proper divisors (343766916016).

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

235302500000 is an frugal number, since it uses more digits than its factorization.

235302500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94166 (or 94128 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

Adding to 235302500000 its reverse (5203532), we get a palindrome (235307703532).

The spelling of 235302500000 in words is "two hundred thirty-five billion, three hundred two million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 15625 20000 25000 31250 50000 62500 78125 94121 100000 125000 156250 188242 250000 312500 376484 470605 500000 625000 752968 941210 1250000 1505936 1882420 2353025 2500000 3011872 3764840 4706050 7529680 9412100 11765125 15059360 18824200 23530250 37648400 47060500 58825625 75296800 94121000 117651250 188242000 235302500 294128125 376484000 470605000 588256250 941210000 1176512500 1470640625 1882420000 2353025000 2941281250 4706050000 5882562500 7353203125 9412100000 11765125000 14706406250 23530250000 29412812500 47060500000 58825625000 117651250000 235302500000