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231012090 = 232537173401
BaseRepresentation
bin11011100010011…
…11011011111010
3121002200122000100
431301033123322
5433114341330
634531220230
75503366431
oct1561173372
9532618010
10231012090
11109444891
1265447676
1338b24b5a
1422976118
1515433060
hexdc4f6fa

231012090 has 96 divisors (see below), whose sum is σ = 621977616. Its totient is φ = 59443200.

The previous prime is 231012083. The next prime is 231012091. The reversal of 231012090 is 90210132.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 230523489 + 488601 = 15183^2 + 699^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (231012091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575890 + ... + 576290.

Almost surely, 2231012090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231012090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310988808).

231012090 is an abundant number, since it is smaller than the sum of its proper divisors (390965526).

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

231012090 is a wasteful number, since it uses less digits than its factorization.

231012090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 231012090 is about 15199.0818801663. The cubic root of 231012090 is about 613.5899482139.

It can be divided in two parts, 2310 and 12090, that added together give a square (14400 = 1202).

The spelling of 231012090 in words is "two hundred thirty-one million, twelve thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 173 185 222 333 346 370 401 519 555 666 802 865 1038 1110 1203 1557 1665 1730 2005 2406 2595 3114 3330 3609 4010 5190 6015 6401 7218 7785 12030 12802 14837 15570 18045 19203 29674 32005 36090 38406 44511 57609 64010 69373 74185 89022 96015 115218 133533 138746 148370 192030 208119 222555 267066 288045 346865 416238 445110 576090 624357 667665 693730 1040595 1248714 1335330 2081190 2566801 3121785 5133602 6243570 7700403 12834005 15400806 23101209 25668010 38502015 46202418 77004030 115506045 231012090