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235148020 = 225313471093
BaseRepresentation
bin11100000010000…
…01001011110100
3121101110202102221
432001001023310
5440144214040
635200012124
75553503512
oct1601011364
9541422387
10235148020
1111080a208
1266901044
1339942553
14233314b2
151599d74a
hexe0412f4

235148020 has 48 divisors (see below), whose sum is σ = 511676928. Its totient is φ = 90679680.

The previous prime is 235147999. The next prime is 235148071. The reversal of 235148020 is 20841532.

It is a congruent number.

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, 214594 + ... + 215686.

It is an arithmetic number, because the mean of its divisors is an integer number (10659936).

Almost surely, 2235148020 is an apocalyptic number.

235148020 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 235148020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255838464).

235148020 is an abundant number, since it is smaller than the sum of its proper divisors (276528908).

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

235148020 is a wasteful number, since it uses less digits than its factorization.

235148020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 235148020 is about 15334.5368368269. The cubic root of 235148020 is about 617.2301169461.

Adding to 235148020 its reverse (20841532), we get a palindrome (255989552).

The spelling of 235148020 in words is "two hundred thirty-five million, one hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 347 620 694 1093 1388 1735 2186 3470 4372 5465 6940 10757 10930 21514 21860 33883 43028 53785 67766 107570 135532 169415 215140 338830 379271 677660 758542 1517084 1896355 3792710 7585420 11757401 23514802 47029604 58787005 117574010 235148020