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231869460 = 223517317333
BaseRepresentation
bin11011101001000…
…00110000010100
3121011022012002210
431310200300110
5433324310320
635001433420
75513600154
oct1564406024
9534265083
10231869460
1110997aa59
126579b870
1339065184
1422b1a764
15155520e0
hexdd20c14

231869460 has 96 divisors (see below), whose sum is σ = 709696512. Its totient is φ = 56309760.

The previous prime is 231869441. The next prime is 231869467. The reversal of 231869460 is 64968132.

231869460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231869467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27954 + ... + 35286.

It is an arithmetic number, because the mean of its divisors is an integer number (7392672).

Almost surely, 2231869460 is an apocalyptic number.

231869460 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 231869460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354848256).

231869460 is an abundant number, since it is smaller than the sum of its proper divisors (477827052).

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

231869460 is a wasteful number, since it uses less digits than its factorization.

231869460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7393 (or 7391 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 231869460 is about 15227.2604233329. The cubic root of 231869460 is about 614.3480963200.

The spelling of 231869460 in words is "two hundred thirty-one million, eight hundred sixty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1581 1860 2108 2635 3162 5270 6324 7333 7905 10540 14666 15810 21999 29332 31620 36665 43998 73330 87996 109995 124661 146660 219990 227323 249322 373983 439980 454646 498644 623305 681969 747966 909292 1136615 1246610 1363938 1495932 1869915 2273230 2493220 2727876 3409845 3739830 3864491 4546460 6819690 7479660 7728982 11593473 13639380 15457964 19322455 23186946 38644910 46373892 57967365 77289820 115934730 231869460