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235054420000 = 255419935897
BaseRepresentation
bin1101101011101001010…
…1011101000000100000
3211110201100100201122021
43122322111131000200
512322342412420000
6255552115551224
722660603414141
oct3327225350040
9743640321567
10235054420000
1190760101844
123967b2bb514
131921c8b802a
14b53b915ac8
1561aaba411a
hex36ba55d020

235054420000 has 120 divisors (see below), whose sum is σ = 578657392236. Its totient is φ = 93958656000.

The previous prime is 235054419931. The next prime is 235054420001. The reversal of 235054420000 is 24450532.

It can be written as a sum of positive squares in 10 ways, for example, as 1722914064 + 233331505936 = 41508^2 + 483044^2 .

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 (235054420001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39857052 + ... + 39862948.

Almost surely, 2235054420000 is an apocalyptic number.

235054420000 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 235054420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289328696118).

235054420000 is an abundant number, since it is smaller than the sum of its proper divisors (343602972236).

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

235054420000 is an equidigital number, since it uses as much as digits as its factorization.

235054420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920 (or 7897 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 235054420000 its reverse (24450532), we get a palindrome (235078870532).

The spelling of 235054420000 in words is "two hundred thirty-five billion, fifty-four million, four hundred twenty 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 1993 2000 2500 3986 4000 5000 5897 7972 9965 10000 11794 15944 19930 20000 23588 29485 31888 39860 47176 49825 58970 63776 79720 94352 99650 117940 147425 159440 188704 199300 235880 249125 294850 318880 398600 471760 498250 589700 737125 797200 943520 996500 1179400 1245625 1474250 1594400 1993000 2358800 2491250 2948500 3685625 3986000 4717600 4982500 5897000 7371250 7972000 9965000 11752721 11794000 14742500 19930000 23505442 23588000 29485000 39860000 47010884 58763605 58970000 94021768 117527210 117940000 188043536 235054420 293818025 376087072 470108840 587636050 940217680 1175272100 1469090125 1880435360 2350544200 2938180250 4701088400 5876360500 7345450625 9402176800 11752721000 14690901250 23505442000 29381802500 47010884000 58763605000 117527210000 235054420000