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230201040 = 24353130941
BaseRepresentation
bin11011011100010…
…01011011010000
3121001011102110110
431232021123100
5432412413130
634502001320
75463451026
oct1556113320
9531142413
10230201040
11108a404a3
1265116240
13388cc944
1422804716
1515322ab0
hexdb896d0

230201040 has 80 divisors (see below), whose sum is σ = 736667136. Its totient is φ = 59404800.

The previous prime is 230201003. The next prime is 230201051. The reversal of 230201040 is 40102032.

230201040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8031 + ... + 22910.

Almost surely, 2230201040 is an apocalyptic number.

230201040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230201040 is an abundant number, since it is smaller than the sum of its proper divisors (506466096).

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

230201040 is a wasteful number, since it uses less digits than its factorization.

230201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30988 (or 30982 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 230201040 is about 15172.3775328720. The cubic root of 230201040 is about 612.8710310626.

Adding to 230201040 its reverse (40102032), we get a palindrome (270303072).

The spelling of 230201040 in words is "two hundred thirty million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 30941 61882 92823 123764 154705 185646 247528 309410 371292 464115 495056 618820 742584 928230 959171 1237640 1485168 1856460 1918342 2475280 2877513 3712920 3836684 4795855 5755026 7425840 7673368 9591710 11510052 14387565 15346736 19183420 23020104 28775130 38366840 46040208 57550260 76733680 115100520 230201040