Search a number
-
+
236804000 = 2553531117
BaseRepresentation
bin11100001110101…
…01011110100000
3121111120220000112
432013111132200
5441110212000
635255310452
75603541446
oct1607253640
9544526015
10236804000
11111740394
126737b428
133a0a2214
1423642b96
1515bc9235
hexe1d57a0

236804000 has 96 divisors (see below), whose sum is σ = 593336016. Its totient is φ = 92851200.

The previous prime is 236803997. The next prime is 236804003. The reversal of 236804000 is 408632.

It is a happy number.

236804000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (236803997) and next prime (236804003).

It can be written as a sum of positive squares in 8 ways, for example, as 13456 + 236790544 = 116^2 + 15388^2 .

It is a super-2 number, since 2×2368040002 = 112152268832000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (236804003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211442 + ... + 212558.

Almost surely, 2236804000 is an apocalyptic number.

236804000 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 236804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296668008).

236804000 is an abundant number, since it is smaller than the sum of its proper divisors (356532016).

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

236804000 is a wasteful number, since it uses less digits than its factorization.

236804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 236804000 is about 15388.4372175995. The cubic root of 236804000 is about 618.6756330036.

The spelling of 236804000 in words is "two hundred thirty-six million, eight hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 265 400 424 500 530 800 848 1000 1060 1117 1325 1696 2000 2120 2234 2650 4000 4240 4468 5300 5585 6625 8480 8936 10600 11170 13250 17872 21200 22340 26500 27925 35744 42400 44680 53000 55850 59201 89360 106000 111700 118402 139625 178720 212000 223400 236804 279250 296005 446800 473608 558500 592010 893600 947216 1117000 1184020 1480025 1894432 2234000 2368040 2960050 4468000 4736080 5920100 7400125 9472160 11840200 14800250 23680400 29600500 47360800 59201000 118402000 236804000