Search a number
-
+
231276000 = 2535319273
BaseRepresentation
bin11011100100011…
…11110111100000
3121010012001000210
431302033313200
5433201313000
634541014120
75505546024
oct1562176740
9533161023
10231276000
1110960509a
1265554340
1338bb8007
1422a04384
1515486350
hexdc8fde0

231276000 has 96 divisors (see below), whose sum is σ = 757699488. Its totient is φ = 61670400.

The previous prime is 231275987. The next prime is 231276029. The reversal of 231276000 is 672132.

It is a happy number.

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, 2364 + ... + 21636.

It is an arithmetic number, because the mean of its divisors is an integer number (7892703).

Almost surely, 2231276000 is an apocalyptic number.

231276000 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 231276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378849744).

231276000 is an abundant number, since it is smaller than the sum of its proper divisors (526423488).

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

231276000 is a wasteful number, since it uses less digits than its factorization.

231276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19301 (or 19283 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 231276000 is about 15207.7611764520. The cubic root of 231276000 is about 613.8235159289.

The spelling of 231276000 in words is "two hundred thirty-one million, two hundred seventy-six 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 19273 38546 57819 77092 96365 115638 154184 192730 231276 289095 308368 385460 462552 481825 578190 616736 770920 925104 963650 1156380 1445475 1541840 1850208 1927300 2312760 2409125 2890950 3083680 3854600 4625520 4818250 5781900 7227375 7709200 9251040 9636500 11563800 14454750 15418400 19273000 23127600 28909500 38546000 46255200 57819000 77092000 115638000 231276000