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230220222100 = 225211211991901
BaseRepresentation
bin1101011001101000110…
…0011100111010010100
3211000020102222000210121
43112122030130322110
512232442334101400
6253432310201324
722430033412541
oct3263214347224
9730212860717
10230220222100
11896aa34a370
1238750353244
131892c1cbabb
14b1dd893bc8
155ec659e21a
hex359a31ce94

230220222100 has 72 divisors (see below), whose sum is σ = 547577515296. Its totient is φ = 83319600000.

The previous prime is 230220222097. The next prime is 230220222103. The reversal of 230220222100 is 1222022032.

230220222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230220222097) and next prime (230220222103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230220222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263851 + ... + 728050.

It is an arithmetic number, because the mean of its divisors is an integer number (7605243268).

Almost surely, 2230220222100 is an apocalyptic number.

230220222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230220222100 is an abundant number, since it is smaller than the sum of its proper divisors (317357293196).

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

230220222100 is a wasteful number, since it uses less digits than its factorization.

230220222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992137 (or 992130 counting only the distinct ones).

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

Adding to 230220222100 its reverse (1222022032), we get a palindrome (231442244132).

The spelling of 230220222100 in words is "two hundred thirty billion, two hundred twenty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 211 220 275 422 550 844 1055 1100 2110 2321 4220 4642 5275 9284 10550 11605 21100 23210 46420 58025 116050 232100 991901 1983802 3967604 4959505 9919010 10910911 19838020 21821822 24797525 43643644 49595050 54554555 99190100 109109110 209291111 218218220 272772775 418582222 545545550 837164444 1046455555 1091091100 2092911110 2302202221 4185822220 4604404442 5232277775 9208808884 10464555550 11511011105 20929111100 23022022210 46044044420 57555055525 115110111050 230220222100