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220120000230 = 235131997130593
BaseRepresentation
bin1100110100000000101…
…1001010011011100110
3210001011112121121010010
43031000023022123212
512101301210001410
6245042143311050
721621531062544
oct3150013123346
9701145547103
10220120000230
1185397002169
12367b18ab486
13179ac820b60
14a9222c2d94
155ad49e5c20
hex33402ca6e6

220120000230 has 128 divisors (see below), whose sum is σ = 599505338880. Its totient is φ = 51277086720.

The previous prime is 220120000207. The next prime is 220120000259. The reversal of 220120000230 is 32000021022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7179814 + ... + 7210406.

It is an arithmetic number, because the mean of its divisors is an integer number (4683635460).

Almost surely, 2220120000230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220120000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299752669440).

220120000230 is an abundant number, since it is smaller than the sum of its proper divisors (379385338650).

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

220120000230 is a wasteful number, since it uses less digits than its factorization.

220120000230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31606.

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

Adding to 220120000230 its reverse (32000021022), we get a palindrome (252120021252).

The spelling of 220120000230 in words is "two hundred twenty billion, one hundred twenty million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 971 1235 1482 1942 2470 2913 3705 4855 5826 7410 9710 12623 14565 18449 25246 29130 30593 36898 37869 55347 61186 63115 75738 91779 92245 110694 126230 152965 183558 184490 189345 239837 276735 305930 378690 397709 458895 479674 553470 581267 719511 795418 917790 1162534 1193127 1199185 1439022 1743801 1988545 2386254 2398370 2906335 3487602 3597555 3977090 5812670 5965635 7195110 7556471 8719005 11931270 15112942 17438010 22669413 29705803 37782355 45338826 59411606 75564710 89117409 113347065 148529015 178234818 226694130 297058030 386175439 445587045 564410257 772350878 891174090 1128820514 1158526317 1693230771 1930877195 2317052634 2822051285 3386461542 3861754390 5644102570 5792631585 7337333341 8466153855 11585263170 14674666682 16932307710 22012000023 36686666705 44024000046 73373333410 110060000115 220120000230