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235054000 = 2453211557
BaseRepresentation
bin11100000001010…
…10001110110000
3121101021222110201
432000222032300
5440133212000
635154004544
75552632426
oct1600521660
9541258421
10235054000
11110755605
1266876754
133990b80c
1423309116
151598096a
hexe02a3b0

235054000 has 80 divisors (see below), whose sum is σ = 572079456. Its totient is φ = 93408000.

The previous prime is 235053991. The next prime is 235054033. The reversal of 235054000 is 450532.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421722 + ... + 422278.

Almost surely, 2235054000 is an apocalyptic number.

235054000 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 235054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286039728).

235054000 is an abundant number, since it is smaller than the sum of its proper divisors (337025456).

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

235054000 is a wasteful number, since it uses less digits than its factorization.

235054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 235054000 is about 15331.4709013845. The cubic root of 235054000 is about 617.1478429361.

The spelling of 235054000 in words is "two hundred thirty-five million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 211 250 400 422 500 557 844 1000 1055 1114 1688 2000 2110 2228 2785 3376 4220 4456 5275 5570 8440 8912 10550 11140 13925 16880 21100 22280 26375 27850 42200 44560 52750 55700 69625 84400 105500 111400 117527 139250 211000 222800 235054 278500 422000 470108 557000 587635 940216 1114000 1175270 1880432 2350540 2938175 4701080 5876350 9402160 11752700 14690875 23505400 29381750 47010800 58763500 117527000 235054000