Search a number
-
+
231708000 = 2535319309
BaseRepresentation
bin11011100111110…
…01010101100000
3121010222222121210
431303321111200
5433304124000
634554150120
75512325346
oct1563712540
9533888553
10231708000
1110987a717
1265722340
1339009834
1422ab7996
151551e350
hexdcf9560

231708000 has 96 divisors (see below), whose sum is σ = 759114720. Its totient is φ = 61785600.

The previous prime is 231707939. The next prime is 231708017. The reversal of 231708000 is 807132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2346 + ... + 21654.

It is an arithmetic number, because the mean of its divisors is an integer number (7907445).

Almost surely, 2231708000 is an apocalyptic number.

231708000 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 231708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379557360).

231708000 is an abundant number, since it is smaller than the sum of its proper divisors (527406720).

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

231708000 is a wasteful number, since it uses less digits than its factorization.

231708000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19337 (or 19319 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 231708000 is about 15221.9578241434. The cubic root of 231708000 is about 614.2054648059.

The spelling of 231708000 in words is "two hundred thirty-one million, seven hundred eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 19309 38618 57927 77236 96545 115854 154472 193090 231708 289635 308944 386180 463416 482725 579270 617888 772360 926832 965450 1158540 1448175 1544720 1853664 1930900 2317080 2413625 2896350 3089440 3861800 4634160 4827250 5792700 7240875 7723600 9268320 9654500 11585400 14481750 15447200 19309000 23170800 28963500 38618000 46341600 57927000 77236000 115854000 231708000