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2201232000420 = 2232525747583917
BaseRepresentation
bin100000000010000011101…
…001101100010110100100
321210102202122100122022200
4200002003221230112210
5242031110343003140
64403122041054500
7315014403200025
oct40020351542644
97712678318280
102201232000420
117795a0095152
122b6744187430
1312c762ba037b
147877c430c4c
153c3d46ae030
hex20083a6c5a4

2201232000420 has 72 divisors (see below), whose sum is σ = 6703051360824. Its totient is φ = 584711159808.

The previous prime is 2201232000419. The next prime is 2201232000421. The reversal of 2201232000420 is 240002321022.

2201232000420 is a `hidden beast` number, since 2 + 20 + 1 + 23 + 200 + 0 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (2201232000419) and next prime (2201232000421).

It can be written as a sum of positive squares in 4 ways, for example, as 1357229660004 + 844002340416 = 1165002^2 + 918696^2 .

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 = 2201232000393 and 2201232000402.

It is not an unprimeable number, because it can be changed into a prime (2201232000421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23745699 + ... + 23838218.

It is an arithmetic number, because the mean of its divisors is an integer number (93097935567).

Almost surely, 22201232000420 is an apocalyptic number.

2201232000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201232000420 is an abundant number, since it is smaller than the sum of its proper divisors (4501819360404).

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

2201232000420 is a wasteful number, since it uses less digits than its factorization.

2201232000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47584189 (or 47584184 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2201232000420 its reverse (240002321022), we get a palindrome (2441234321442).

The spelling of 2201232000420 in words is "two trillion, two hundred one billion, two hundred thirty-two million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 514 771 1028 1285 1542 2313 2570 3084 3855 4626 5140 7710 9252 11565 15420 23130 46260 47583917 95167834 142751751 190335668 237919585 285503502 428255253 475839170 571007004 713758755 856510506 951678340 1427517510 1713021012 2141276265 2855035020 4282552530 8565105060 12229066669 24458133338 36687200007 48916266676 61145333345 73374400014 110061600021 122290666690 146748800028 183436000035 220123200042 244581333380 366872000070 440246400084 550308000105 733744000140 1100616000210 2201232000420