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420314202 = 232711303257
BaseRepresentation
bin11001000011010…
…111110001011010
31002021220011200200
4121003113301122
51330100023302
6105412443030
713262416560
oct3103276132
91067804620
10420314202
111a6290310
12b8919476
1369104a39
143db71a30
1526d7781c
hex190d7c5a

420314202 has 48 divisors (see below), whose sum is σ = 1135397952. Its totient is φ = 109172160.

The previous prime is 420314201. The next prime is 420314203. The reversal of 420314202 is 202413024.

It is an interprime number because it is at equal distance from previous prime (420314201) and next prime (420314203).

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

It is not an unprimeable number, because it can be changed into a prime (420314201) 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, 150243 + ... + 153014.

It is an arithmetic number, because the mean of its divisors is an integer number (23654124).

Almost surely, 2420314202 is an apocalyptic number.

420314202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

420314202 is an abundant number, since it is smaller than the sum of its proper divisors (715083750).

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

420314202 is a wasteful number, since it uses less digits than its factorization.

420314202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303283 (or 303280 counting only the distinct ones).

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

The square root of 420314202 is about 20501.5658426375. The cubic root of 420314202 is about 749.0739396870.

Adding to 420314202 its reverse (202413024), we get a palindrome (622727226).

The spelling of 420314202 in words is "four hundred twenty million, three hundred fourteen thousand, two hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 303257 606514 909771 1819542 2122799 2729313 3335827 4245598 5458626 6368397 6671654 10007481 12736794 19105191 20014962 23350789 30022443 38210382 46701578 60044886 70052367 140104734 210157101 420314202