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23452200400420 = 2251129799907133
BaseRepresentation
bin1010101010100011001000…
…00100101111011000100100
310002001000020011120020122101
411111101210010233120210
511033220101300303140
6121513443033341444
74640236250200231
oct525214404573044
9102030204506571
1023452200400420
117522027801600
12276923a567884
1310116c103366c
145b1141d8a788
152aa0a3b1399a
hex15546412f624

23452200400420 has 72 divisors (see below), whose sum is σ = 54691962551352. Its totient is φ = 8440154511360.

The previous prime is 23452200400411. The next prime is 23452200400427. The reversal of 23452200400420 is 2400400225432.

It can be written as a sum of positive squares in 4 ways, for example, as 7270616102464 + 16181584297956 = 2696408^2 + 4022634^2 .

It is not an unprimeable number, because it can be changed into a prime (23452200400427) 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, 49718827 + ... + 50188306.

It is an arithmetic number, because the mean of its divisors is an integer number (759610590991).

Almost surely, 223452200400420 is an apocalyptic number.

23452200400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23452200400420 is an abundant number, since it is smaller than the sum of its proper divisors (31239762150932).

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

23452200400420 is a wasteful number, since it uses less digits than its factorization.

23452200400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99907261 (or 99907248 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 23452200400420 its reverse (2400400225432), we get a palindrome (25852600625852).

The spelling of 23452200400420 in words is "twenty-three trillion, four hundred fifty-two billion, two hundred million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 121 194 220 242 388 484 485 605 970 1067 1210 1940 2134 2420 4268 5335 10670 11737 21340 23474 46948 58685 117370 234740 99907133 199814266 399628532 499535665 999071330 1098978463 1998142660 2197956926 4395913852 5494892315 9690991901 10989784630 12088763093 19381983802 21979569260 24177526186 38763967604 48355052372 48454959505 60443815465 96909919010 106600910911 120887630930 193819838020 213201821822 241775261860 426403643644 533004554555 1066009109110 1172610020021 2132018218220 2345220040042 4690440080084 5863050100105 11726100200210 23452200400420