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230212100020 = 225723443161387
BaseRepresentation
bin1101011001100110110…
…1011101111110110100
3211000012212200101101211
43112121231131332310
512232433244200040
6253431420131204
722426604364160
oct3263155357664
9730185611354
10230212100020
11896a5802101
1238749696b04
131892a616c36
14b1dc77bca0
155ec59e78ea
hex3599b5dfb4

230212100020 has 96 divisors (see below), whose sum is σ = 577836177408. Its totient is φ = 75327238272.

The previous prime is 230212099987. The next prime is 230212100047. The reversal of 230212100020 is 20001212032.

It is a super-2 number, since 2×2302121000202 (a number of 24 digits) contains 22 as substring.

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, 1345767 + ... + 1507153.

It is an arithmetic number, because the mean of its divisors is an integer number (6019126848).

Almost surely, 2230212100020 is an apocalyptic number.

230212100020 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 230212100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288918088704).

230212100020 is an abundant number, since it is smaller than the sum of its proper divisors (347624077388).

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

230212100020 is a wasteful number, since it uses less digits than its factorization.

230212100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161869 (or 161867 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 230212100020 its reverse (20001212032), we get a palindrome (250213312052).

The spelling of 230212100020 in words is "two hundred thirty billion, two hundred twelve million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 443 460 644 805 886 1610 1772 2215 3101 3220 4430 6202 8860 10189 12404 15505 20378 31010 40756 50945 62020 71323 101890 142646 161387 203780 285292 322774 356615 645548 713230 806935 1129709 1426460 1613870 2259418 3227740 3711901 4518836 5648545 7423802 11297090 14847604 18559505 22594180 25983307 37119010 51966614 71494441 74238020 103933228 129916535 142988882 259833070 285977764 357472205 500461087 519666140 714944410 1000922174 1429888820 1644372143 2001844348 2502305435 3288744286 5004610870 6577488572 8221860715 10009221740 11510605001 16443721430 23021210002 32887442860 46042420004 57553025005 115106050010 230212100020