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2420211220 = 2257169310211
BaseRepresentation
bin1001000001000001…
…0111111000010100
320020200001110122121
42100100113320110
514424033224340
61040053305324
7113655312250
oct22020277024
96220043577
102420211220
111032167569
12576635244
132c754425b
1418d601260
15e271994a
hex90417e14

2420211220 has 48 divisors (see below), whose sum is σ = 5812507008. Its totient is φ = 829215360.

The previous prime is 2420211169. The next prime is 2420211223. The reversal of 2420211220 is 221120242.

It is a junction number, because it is equal to n+sod(n) for n = 2420211194 and 2420211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420211223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231915 + ... + 242125.

It is an arithmetic number, because the mean of its divisors is an integer number (121093896).

Almost surely, 22420211220 is an apocalyptic number.

2420211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420211220 is an abundant number, since it is smaller than the sum of its proper divisors (3392295788).

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

2420211220 is a wasteful number, since it uses less digits than its factorization.

2420211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11920 (or 11918 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2420211220 is about 49195.6422866904. The cubic root of 2420211220 is about 1342.6137481977.

Adding to 2420211220 its reverse (221120242), we get a palindrome (2641331462).

The spelling of 2420211220 in words is "two billion, four hundred twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1693 3386 6772 8465 10211 11851 16930 20422 23702 33860 40844 47404 51055 59255 71477 102110 118510 142954 204220 237020 285908 357385 714770 1429540 17287223 34574446 69148892 86436115 121010561 172872230 242021122 345744460 484042244 605052805 1210105610 2420211220