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235352064 = 2123107179
BaseRepresentation
bin11100000011100…
…11000000000000
3121101212010100010
432001303000000
5440222231224
635204224520
75555313423
oct1601630000
9541763303
10235352064
11110939542
126699b140
13399b439c
14233859ba
15159dde29
hexe073000

235352064 has 104 divisors (see below), whose sum is σ = 636932160. Its totient is φ = 77283328.

The previous prime is 235352059. The next prime is 235352071. The reversal of 235352064 is 460253532.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1314727 + ... + 1314905.

Almost surely, 2235352064 is an apocalyptic number.

235352064 is a gapful number since it is divisible by the number (24) 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 235352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318466080).

235352064 is an abundant number, since it is smaller than the sum of its proper divisors (401580096).

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

235352064 is a wasteful number, since it uses less digits than its factorization.

235352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 235352064 is about 15341.1884806882. The cubic root of 235352064 is about 617.4085941620.

The spelling of 235352064 in words is "two hundred thirty-five million, three hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 179 192 214 256 321 358 384 428 512 537 642 716 768 856 1024 1074 1284 1432 1536 1712 2048 2148 2568 2864 3072 3424 4096 4296 5136 5728 6144 6848 8592 10272 11456 12288 13696 17184 19153 20544 22912 27392 34368 38306 41088 45824 54784 57459 68736 76612 82176 91648 109568 114918 137472 153224 164352 183296 219136 229836 274944 306448 328704 366592 438272 459672 549888 612896 657408 733184 919344 1099776 1225792 1314816 1838688 2199552 2451584 3677376 4903168 7354752 9806336 14709504 19612672 29419008 39225344 58838016 78450688 117676032 235352064