Search a number
-
+
235245270 = 235131953599
BaseRepresentation
bin11100000010110…
…00111011010110
3121101122200211210
432001120323112
5440210322040
635202042250
75554360161
oct1601307326
9541580753
10235245270
11110876287
1266949386
13399778b0
1423358ad8
15159bc480
hexe058ed6

235245270 has 128 divisors (see below), whose sum is σ = 653184000. Its totient is φ = 53733888.

The previous prime is 235245247. The next prime is 235245271. The reversal of 235245270 is 72542532.

235245270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235245271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392431 + ... + 393029.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2235245270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235245270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592000).

235245270 is an abundant number, since it is smaller than the sum of its proper divisors (417938730).

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

235245270 is a wasteful number, since it uses less digits than its factorization.

235245270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694.

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 235245270 is about 15337.7074558097. The cubic root of 235245270 is about 617.3151943594.

The spelling of 235245270 in words is "two hundred thirty-five million, two hundred forty-five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 53 57 65 78 95 106 114 130 159 190 195 247 265 285 318 390 494 530 570 599 689 741 795 1007 1198 1235 1378 1482 1590 1797 2014 2067 2470 2995 3021 3445 3594 3705 4134 5035 5990 6042 6890 7410 7787 8985 10070 10335 11381 13091 15105 15574 17970 20670 22762 23361 26182 30210 31747 34143 38935 39273 46722 56905 63494 65455 68286 77870 78546 95241 113810 116805 130910 147953 158735 170715 190482 196365 233610 295906 317470 341430 392730 412711 443859 476205 603193 739765 825422 887718 952410 1206386 1238133 1479530 1809579 2063555 2219295 2476266 3015965 3619158 4127110 4438590 6031930 6190665 7841509 9047895 12381330 15683018 18095790 23524527 39207545 47049054 78415090 117622635 235245270