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231141420 = 223253114129
BaseRepresentation
bin11011100011011…
…11000000101100
3121002221012102100
431301233000230
5433133011140
634534055100
75504445456
oct1561570054
9532835370
10231141420
11109522a74
12654aa490
1338b6b993
14229ab2d6
151545b530
hexdc6f02c

231141420 has 72 divisors (see below), whose sum is σ = 703553760. Its totient is φ = 61424640.

The previous prime is 231141377. The next prime is 231141437. The reversal of 231141420 is 24141132.

231141420 is a `hidden beast` number, since 231 + 1 + 414 + 20 = 666.

231141420 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 231141393 and 231141402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53916 + ... + 58044.

It is an arithmetic number, because the mean of its divisors is an integer number (9771580).

Almost surely, 2231141420 is an apocalyptic number.

231141420 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 231141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351776880).

231141420 is an abundant number, since it is smaller than the sum of its proper divisors (472412340).

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

231141420 is a wasteful number, since it uses less digits than its factorization.

231141420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 231141420 is about 15203.3358181683. The cubic root of 231141420 is about 613.7044310876.

Adding to 231141420 its reverse (24141132), we get a palindrome (255282552).

The spelling of 231141420 in words is "two hundred thirty-one million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 622 933 1244 1555 1866 2799 3110 3732 4129 4665 5598 6220 8258 9330 11196 12387 13995 16516 18660 20645 24774 27990 37161 41290 49548 55980 61935 74322 82580 123870 148644 185805 247740 371610 743220 1284119 2568238 3852357 5136476 6420595 7704714 11557071 12841190 15409428 19261785 23114142 25682380 38523570 46228284 57785355 77047140 115570710 231141420