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230621400 = 233252314133
BaseRepresentation
bin11011011111100…
…00000011011000
3121001221210002100
431233300003120
5433014341100
634515003400
75500151412
oct1557600330
9531853070
10230621400
111091a82a9
1265299560
1338a19089
14228b39b2
15153a7400
hexdbf00d8

230621400 has 144 divisors (see below), whose sum is σ = 799680960. Its totient is φ = 59500800.

The previous prime is 230621389. The next prime is 230621423. The reversal of 230621400 is 4126032.

It is a happy number.

230621400 is a `hidden beast` number, since 2 + 3 + 0 + 621 + 40 + 0 = 666.

230621400 is digitally balanced in base 2, because in such base 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53734 + ... + 57866.

It is an arithmetic number, because the mean of its divisors is an integer number (5553340).

Almost surely, 2230621400 is an apocalyptic number.

230621400 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 230621400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399840480).

230621400 is an abundant number, since it is smaller than the sum of its proper divisors (569059560).

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

230621400 is a wasteful number, since it uses less digits than its factorization.

230621400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230621400 is about 15186.2240204733. The cubic root of 230621400 is about 613.2438498417.

Adding to 230621400 its reverse (4126032), we get a palindrome (234747432).

The spelling of 230621400 in words is "two hundred thirty million, six hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 200 225 248 279 300 310 360 372 450 465 558 600 620 744 775 900 930 1116 1240 1395 1550 1800 1860 2232 2325 2790 3100 3720 4133 4650 5580 6200 6975 8266 9300 11160 12399 13950 16532 18600 20665 24798 27900 33064 37197 41330 49596 55800 61995 74394 82660 99192 103325 123990 128123 148788 165320 185985 206650 247980 256246 297576 309975 371970 384369 413300 495960 512492 619950 640615 743940 768738 826600 929925 1024984 1153107 1239900 1281230 1487880 1537476 1859850 1921845 2306214 2479800 2562460 3074952 3203075 3719700 3843690 4612428 5124920 5765535 6406150 7439400 7687380 9224856 9609225 11531070 12812300 15374760 19218450 23062140 25624600 28827675 38436900 46124280 57655350 76873800 115310700 230621400