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231141900 = 223521189787
BaseRepresentation
bin11011100011011…
…11001000001100
3121002221020002010
431301233020030
5433133020100
634534101220
75504450043
oct1561571014
9532836063
10231141900
11109523370
12654aa810
1338b6bc72
14229ab55a
151545b750
hexdc6f20c

231141900 has 144 divisors (see below), whose sum is σ = 738702720. Its totient is φ = 55334400.

The previous prime is 231141853. The next prime is 231141901. The reversal of 231141900 is 9141132.

231141900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2311419002 = 106853155871220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231141901) 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, 293307 + ... + 294093.

It is an arithmetic number, because the mean of its divisors is an integer number (5129880).

Almost surely, 2231141900 is an apocalyptic number.

231141900 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 231141900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369351360).

231141900 is an abundant number, since it is smaller than the sum of its proper divisors (507560820).

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

231141900 is a wasteful number, since it uses less digits than its factorization.

231141900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 231141900 is about 15203.3516041694. The cubic root of 231141900 is about 613.7048559039.

The spelling of 231141900 in words is "two hundred thirty-one million, one hundred forty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 89 100 110 132 150 165 178 220 267 275 300 330 356 445 534 550 660 787 825 890 979 1068 1100 1335 1574 1650 1780 1958 2225 2361 2670 2937 3148 3300 3916 3935 4450 4722 4895 5340 5874 6675 7870 8657 8900 9444 9790 11748 11805 13350 14685 15740 17314 19580 19675 23610 24475 25971 26700 29370 34628 39350 43285 47220 48950 51942 58740 59025 70043 73425 78700 86570 97900 103884 118050 129855 140086 146850 173140 210129 216425 236100 259710 280172 293700 350215 420258 432850 519420 649275 700430 770473 840516 865700 1050645 1298550 1400860 1540946 1751075 2101290 2311419 2597100 3081892 3502150 3852365 4202580 4622838 5253225 7004300 7704730 9245676 10506450 11557095 15409460 19261825 21012900 23114190 38523650 46228380 57785475 77047300 115570950 231141900