Search a number
-
+
235002000 = 2435353739
BaseRepresentation
bin11100000000111…
…01100010010000
3121101012100010210
432000131202100
5440130031000
635152524120
75552325012
oct1600354220
9541170123
10235002000
1111071a532
1266850640
13398c0c4c
14232d41b2
1515970350
hexe01d890

235002000 has 160 divisors (see below), whose sum is σ = 772986240. Its totient is φ = 61401600.

The previous prime is 235001983. The next prime is 235002029. The reversal of 235002000 is 200532.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317631 + ... + 318369.

It is an arithmetic number, because the mean of its divisors is an integer number (4831164).

Almost surely, 2235002000 is an apocalyptic number.

235002000 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 235002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386493120).

235002000 is an abundant number, since it is smaller than the sum of its proper divisors (537984240).

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

235002000 is a wasteful number, since it uses less digits than its factorization.

235002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 235002000 is about 15329.7749494244. The cubic root of 235002000 is about 617.1023299126.

Adding to 235002000 its reverse (200532), we get a palindrome (235202532).

The spelling of 235002000 in words is "two hundred thirty-five million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 53 60 75 80 100 106 120 125 150 159 200 212 240 250 265 300 318 375 400 424 500 530 600 636 739 750 795 848 1000 1060 1200 1272 1325 1478 1500 1590 2000 2120 2217 2544 2650 2956 3000 3180 3695 3975 4240 4434 5300 5912 6000 6360 6625 7390 7950 8868 10600 11085 11824 12720 13250 14780 15900 17736 18475 19875 21200 22170 26500 29560 31800 35472 36950 39167 39750 44340 53000 55425 59120 63600 73900 78334 79500 88680 92375 106000 110850 117501 147800 156668 159000 177360 184750 195835 221700 235002 277125 295600 313336 318000 369500 391670 443400 470004 554250 587505 626672 739000 783340 886800 940008 979175 1108500 1175010 1478000 1566680 1880016 1958350 2217000 2350020 2937525 3133360 3916700 4434000 4700040 4895875 5875050 7833400 9400080 9791750 11750100 14687625 15666800 19583500 23500200 29375250 39167000 47000400 58750500 78334000 117501000 235002000