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420622500 = 22354173299
BaseRepresentation
bin11001000100100…
…011000010100100
31002022110211121010
4121010203002210
51330134410000
6105423222220
713265142444
oct3104430244
91068424533
10420622500
111a6480a01
12b8a47970
13691b216c
143dc12124
1526dd8d50
hex191230a4

420622500 has 120 divisors (see below), whose sum is σ = 1298959200. Its totient is φ = 105536000.

The previous prime is 420622493. The next prime is 420622507. The reversal of 420622500 is 5226024.

It is an interprime number because it is at equal distance from previous prime (420622493) and next prime (420622507).

It is not an unprimeable number, because it can be changed into a prime (420622507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125851 + ... + 129149.

It is an arithmetic number, because the mean of its divisors is an integer number (10824660).

Almost surely, 2420622500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420622500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649479600).

420622500 is an abundant number, since it is smaller than the sum of its proper divisors (878336700).

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

420622500 is a wasteful number, since it uses less digits than its factorization.

420622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 420622500 is about 20509.0833534802. The cubic root of 420622500 is about 749.2570420388.

Adding to 420622500 its reverse (5226024), we get a palindrome (425848524).

The spelling of 420622500 in words is "four hundred twenty million, six hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 125 150 170 204 250 255 300 340 375 425 500 510 625 750 850 1020 1250 1275 1500 1700 1875 2125 2500 2550 3299 3750 4250 5100 6375 6598 7500 8500 9897 10625 12750 13196 16495 19794 21250 25500 31875 32990 39588 42500 49485 56083 63750 65980 82475 98970 112166 127500 164950 168249 197940 224332 247425 280415 329900 336498 412375 494850 560830 672996 824750 841245 989700 1121660 1237125 1402075 1649500 1682490 2061875 2474250 2804150 3364980 4123750 4206225 4948500 5608300 6185625 7010375 8247500 8412450 12371250 14020750 16824900 21031125 24742500 28041500 35051875 42062250 70103750 84124500 105155625 140207500 210311250 420622500