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235074816 = 2832257397
BaseRepresentation
bin11100000001011…
…11010100000000
3121101100001000200
432000233110000
5440134343231
635154245200
75553050214
oct1600572400
9541301020
10235074816
1111076a209
1266886800
1339918132
1423312944
1515986be6
hexe02f500

235074816 has 108 divisors (see below), whose sum is σ = 682129812. Its totient is φ = 77856768.

The previous prime is 235074811. The next prime is 235074857. The reversal of 235074816 is 618470532.

It can be written as a sum of positive squares in 2 ways, for example, as 204604416 + 30470400 = 14304^2 + 5520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235074811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 591930 + ... + 592326.

Almost surely, 2235074816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341064906).

235074816 is an abundant number, since it is smaller than the sum of its proper divisors (447054996).

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

235074816 is a wasteful number, since it uses less digits than its factorization.

235074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 235074816 is about 15332.1497514210. The cubic root of 235074816 is about 617.1660602681.

The spelling of 235074816 in words is "two hundred thirty-five million, seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 257 288 384 397 514 576 768 771 794 1028 1152 1191 1542 1588 2056 2304 2313 2382 3084 3176 3573 4112 4626 4764 6168 6352 7146 8224 9252 9528 12336 12704 14292 16448 18504 19056 24672 25408 28584 32896 37008 38112 49344 50816 57168 65792 74016 76224 98688 101632 102029 114336 148032 152448 197376 204058 228672 296064 304896 306087 408116 457344 592128 612174 816232 914688 918261 1224348 1632464 1836522 2448696 3264928 3673044 4897392 6529856 7346088 9794784 13059712 14692176 19589568 26119424 29384352 39179136 58768704 78358272 117537408 235074816