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235274240 = 2175359
BaseRepresentation
bin11100000011000…
…00000000000000
3121101201011120202
432001200000000
5440212233430
635202424332
75554540505
oct1601400000
9541634522
10235274240
11110896023
12669620a8
1339987b36
14233654ac
15159c5d45
hexe060000

235274240 has 72 divisors (see below), whose sum is σ = 566228880. Its totient is φ = 93847552.

The previous prime is 235274233. The next prime is 235274243. The reversal of 235274240 is 42472532.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235274243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 655181 + ... + 655539.

It is an arithmetic number, because the mean of its divisors is an integer number (7864290).

Almost surely, 2235274240 is an apocalyptic number.

235274240 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 235274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283114440).

235274240 is an abundant number, since it is smaller than the sum of its proper divisors (330954640).

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

235274240 is an frugal number, since it uses more digits than its factorization.

235274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 235274240 is about 15338.6518312399. The cubic root of 235274240 is about 617.3405337100.

The spelling of 235274240 in words is "two hundred thirty-five million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 359 512 640 718 1024 1280 1436 1795 2048 2560 2872 3590 4096 5120 5744 7180 8192 10240 11488 14360 16384 20480 22976 28720 32768 40960 45952 57440 65536 81920 91904 114880 131072 163840 183808 229760 327680 367616 459520 655360 735232 919040 1470464 1838080 2940928 3676160 5881856 7352320 11763712 14704640 23527424 29409280 47054848 58818560 117637120 235274240