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252305004420 = 223257200242067
BaseRepresentation
bin1110101011111010001…
…1001101011110000100
3220010020120101012202100
43222332203031132010
513113210040120140
6311523551512100
724141232103160
oct3527643153604
9803216335670
10252305004420
1198002663187
1240a94528630
131aa3b796b31
14c2d69c3ca0
15686a378530
hex3abe8cd784

252305004420 has 72 divisors (see below), whose sum is σ = 874657353024. Its totient is φ = 57669715008.

The previous prime is 252305004389. The next prime is 252305004437. The reversal of 252305004420 is 24400503252.

It is a happy number.

252305004420 is a `hidden beast` number, since 2 + 5 + 230 + 5 + 0 + 0 + 4 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100119774 + ... + 100122293.

It is an arithmetic number, because the mean of its divisors is an integer number (12148018792).

Almost surely, 2252305004420 is an apocalyptic number.

252305004420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252305004420 is an abundant number, since it is smaller than the sum of its proper divisors (622352348604).

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

252305004420 is a wasteful number, since it uses less digits than its factorization.

252305004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200242089 (or 200242084 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 252305004420 its reverse (24400503252), we get a palindrome (276705507672).

The spelling of 252305004420 in words is "two hundred fifty-two billion, three hundred five million, four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 200242067 400484134 600726201 800968268 1001210335 1201452402 1401694469 1802178603 2002420670 2402904804 2803388938 3003631005 3604357206 4004841340 4205083407 5606777876 6007262010 7008472345 7208714412 8410166814 9010893015 12014524020 12615250221 14016944690 16820333628 18021786030 21025417035 25230500442 28033889380 36043572060 42050834070 50461000884 63076251105 84101668140 126152502210 252305004420