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231022000 = 24531110501
BaseRepresentation
bin11011100010100…
…01110110110000
3121002201010121101
431301101312300
5433120201000
634531334144
75503440346
oct1561216660
9532633541
10231022000
11109451280
1265451354
1338b29511
1422979996
1515435e6a
hexdc51db0

231022000 has 80 divisors (see below), whose sum is σ = 609452064. Its totient is φ = 84000000.

The previous prime is 231021937. The next prime is 231022009. The reversal of 231022000 is 220132.

231022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (231022009) 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, 16750 + ... + 27250.

Almost surely, 2231022000 is an apocalyptic number.

231022000 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 231022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304726032).

231022000 is an abundant number, since it is smaller than the sum of its proper divisors (378430064).

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

231022000 is a wasteful number, since it uses less digits than its factorization.

231022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10535 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 231022000 is about 15199.4078832039. The cubic root of 231022000 is about 613.5987220540.

Adding to 231022000 its reverse (220132), we get a palindrome (231242132).

It can be divided in two parts, 2310 and 22000, that added together give a triangular number (24310 = T220).

The spelling of 231022000 in words is "two hundred thirty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 10501 11000 21002 22000 42004 52505 84008 105010 115511 168016 210020 231022 262525 420040 462044 525050 577555 840080 924088 1050100 1155110 1312625 1848176 2100200 2310220 2625250 2887775 4200400 4620440 5250500 5775550 9240880 10501000 11551100 14438875 21002000 23102200 28877750 46204400 57755500 115511000 231022000