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230221420 = 2251113101797
BaseRepresentation
bin11011011100011…
…10011001101100
3121001012110102021
431232032121230
5432414041140
634502235524
75463564322
oct1556163154
9531173367
10230221420
11108a54840
1265125ba4
1338908cc0
142280bd12
1515328b4a
hexdb8e66c

230221420 has 96 divisors (see below), whose sum is σ = 574330176. Its totient is φ = 76416000.

The previous prime is 230221399. The next prime is 230221427. The reversal of 230221420 is 24122032.

It is a junction number, because it is equal to n+sod(n) for n = 230221394 and 230221403.

It is not an unprimeable number, because it can be changed into a prime (230221427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288462 + ... + 289258.

It is an arithmetic number, because the mean of its divisors is an integer number (5982606).

Almost surely, 2230221420 is an apocalyptic number.

230221420 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 230221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287165088).

230221420 is an abundant number, since it is smaller than the sum of its proper divisors (344108756).

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

230221420 is a wasteful number, since it uses less digits than its factorization.

230221420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 230221420 is about 15173.0491332494. The cubic root of 230221420 is about 612.8891166210.

Adding to 230221420 its reverse (24122032), we get a palindrome (254343452).

It can be divided in two parts, 23022 and 1420, that added together give a palindrome (24442).

The spelling of 230221420 in words is "two hundred thirty million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 101 110 130 143 202 220 260 286 404 505 572 715 797 1010 1111 1313 1430 1594 2020 2222 2626 2860 3188 3985 4444 5252 5555 6565 7970 8767 10361 11110 13130 14443 15940 17534 20722 22220 26260 28886 35068 41444 43835 51805 57772 72215 80497 87670 103610 113971 144430 160994 175340 207220 227942 288860 321988 402485 455884 569855 804970 885467 1046461 1139710 1609940 1770934 2092922 2279420 3541868 4185844 4427335 5232305 8854670 10464610 11511071 17709340 20929220 23022142 46044284 57555355 115110710 230221420