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230023301220 = 223254131168469
BaseRepresentation
bin1101011000111001110…
…1010000100001100100
3210222201201102102010200
43112032131100201210
512232041431114340
6253400553350500
722422122541306
oct3261635204144
9728651372120
10230023301220
118960917a839
12386b6408430
13188ca48217b
14b1c1673976
155eb4152330
hex358e750864

230023301220 has 72 divisors (see below), whose sum is σ = 714755354040. Its totient is φ = 59843458560.

The previous prime is 230023301219. The next prime is 230023301227. The reversal of 230023301220 is 22103320032.

It is a happy number.

230023301220 is a `hidden beast` number, since 2 + 300 + 2 + 330 + 12 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5125414464 + 224897886756 = 71592^2 + 474234^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230023301193 and 230023301202.

It is not an unprimeable number, because it can be changed into a prime (230023301227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15576855 + ... + 15591614.

It is an arithmetic number, because the mean of its divisors is an integer number (9927157695).

Almost surely, 2230023301220 is an apocalyptic number.

230023301220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230023301220 is an abundant number, since it is smaller than the sum of its proper divisors (484732052820).

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

230023301220 is a wasteful number, since it uses less digits than its factorization.

230023301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31168525 (or 31168520 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230023301220 its reverse (22103320032), we get a palindrome (252126621252).

The spelling of 230023301220 in words is "two hundred thirty billion, twenty-three million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 31168469 62336938 93505407 124673876 155842345 187010814 280516221 311684690 374021628 467527035 561032442 623369380 935054070 1122064884 1277907229 1402581105 1870108140 2555814458 2805162210 3833721687 5111628916 5610324420 6389536145 7667443374 11501165061 12779072290 15334886748 19168608435 23002330122 25558144580 38337216870 46004660244 57505825305 76674433740 115011650610 230023301220