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231993344 = 2121119271
BaseRepresentation
bin11011101001111…
…11000000000000
3121011112111001002
431310333000000
5433342241334
635004231132
75514624302
oct1564770000
9534474032
10231993344
11109a55040
126583b4a8
13390a968b
1422b4d972
1515578b7e
hexdd3f000

231993344 has 104 divisors (see below), whose sum is σ = 534708480. Its totient is φ = 99532800.

The previous prime is 231993283. The next prime is 231993371. The reversal of 231993344 is 443399132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 231993298 and 231993307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855929 + ... + 856199.

Almost surely, 2231993344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267354240).

231993344 is an abundant number, since it is smaller than the sum of its proper divisors (302715136).

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

231993344 is a wasteful number, since it uses less digits than its factorization.

231993344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its digits is 69984, while the sum is 38.

The square root of 231993344 is about 15231.3277162564. The cubic root of 231993344 is about 614.4574888336.

The spelling of 231993344 in words is "two hundred thirty-one million, nine hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 271 304 352 418 512 542 608 704 836 1024 1084 1216 1408 1672 2048 2168 2432 2816 2981 3344 4096 4336 4864 5149 5632 5962 6688 8672 9728 10298 11264 11924 13376 17344 19456 20596 22528 23848 26752 34688 38912 41192 45056 47696 53504 56639 69376 77824 82384 95392 107008 113278 138752 164768 190784 214016 226556 277504 329536 381568 428032 453112 555008 659072 763136 856064 906224 1110016 1318144 1526272 1812448 2636288 3052544 3624896 5272576 6105088 7249792 10545152 12210176 14499584 21090304 28999168 57998336 115996672 231993344