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230445154820200 = 235223411221872507
BaseRepresentation
bin110100011001011010110001…
…100101111110000001101000
31010012221100020001122201111111
4310121122301211332001220
5220201103134113221300
62134041013113240104
766353053522400125
oct6431326145760150
91105840201581444
10230445154820200
1167477272226521
1221a19994103034
139b77b67046488
1440c98681c374c
151b99619a829ba
hexd196b197e068

230445154820200 has 96 divisors (see below), whose sum is σ = 572716081949760. Its totient is φ = 86019824422400.

The previous prime is 230445154820191. The next prime is 230445154820203. The reversal of 230445154820200 is 2028451544032.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (230445154820203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610747654 + ... + 611124853.

It is an arithmetic number, because the mean of its divisors is an integer number (5965792520310).

Almost surely, 2230445154820200 is an apocalyptic number.

230445154820200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230445154820200 is an abundant number, since it is smaller than the sum of its proper divisors (342270927129560).

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

230445154820200 is a wasteful number, since it uses less digits than its factorization.

230445154820200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221872587 (or 1221872578 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 230445154820200 in words is "two hundred thirty trillion, four hundred forty-five billion, one hundred fifty-four million, eight hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 41 46 50 82 92 100 115 164 184 200 205 230 328 410 460 575 820 920 943 1025 1150 1640 1886 2050 2300 3772 4100 4600 4715 7544 8200 9430 18860 23575 37720 47150 94300 188600 1221872507 2443745014 4887490028 6109362535 9774980056 12218725070 24437450140 28103067661 30546812675 48874900280 50096772787 56206135322 61093625350 100193545574 112412270644 122187250700 140515338305 200387091148 224824541288 244374501400 250483863935 281030676610 400774182296 500967727870 562061353220 702576691525 1001935455740 1124122706440 1152225774101 1252419319675 1405153383050 2003870911480 2304451548202 2504838639350 2810306766100 4608903096404 5009677278700 5620613532200 5761128870505 9217806192808 10019354557400 11522257741010 23044515482020 28805644352525 46089030964040 57611288705050 115222577410100 230445154820200