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230420220 = 2235191071889
BaseRepresentation
bin11011011101111…
…10111011111100
3121001120120010020
431232332323330
5432441421340
634510412140
75465353032
oct1556767374
9531516106
10230420220
11109080138
1265201050
1338978634
1422860552
15153679d0
hexdbbeefc

230420220 has 96 divisors (see below), whose sum is σ = 685843200. Its totient is φ = 57636864.

The previous prime is 230420219. The next prime is 230420243. The reversal of 230420220 is 22024032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230420220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121036 + ... + 122924.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2230420220 is an apocalyptic number.

230420220 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 230420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342921600).

230420220 is an abundant number, since it is smaller than the sum of its proper divisors (455422980).

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

230420220 is a wasteful number, since it uses less digits than its factorization.

230420220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 230420220 is about 15179.5988089277. The cubic root of 230420220 is about 613.0654791596.

Adding to 230420220 its reverse (22024032), we get a palindrome (252444252).

The spelling of 230420220 in words is "two hundred thirty million, four hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 107 114 190 214 228 285 321 380 428 535 570 642 1070 1140 1284 1605 1889 2033 2140 3210 3778 4066 5667 6099 6420 7556 8132 9445 10165 11334 12198 18890 20330 22668 24396 28335 30495 35891 37780 40660 56670 60990 71782 107673 113340 121980 143564 179455 202123 215346 358910 404246 430692 538365 606369 717820 808492 1010615 1076730 1212738 2021230 2153460 2425476 3031845 3840337 4042460 6063690 7680674 11521011 12127380 15361348 19201685 23042022 38403370 46084044 57605055 76806740 115210110 230420220