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2241300420 = 2232519655351
BaseRepresentation
bin1000010110010111…
…1000011111000100
312210012101212011200
42011211320133010
514042233103140
61010222502500
7106353511362
oct20545703704
95705355150
102241300420
11a501791a7
12526734a30
13299462088
1417394c632
15d1b79030
hex859787c4

2241300420 has 72 divisors (see below), whose sum is σ = 7156443840. Its totient is φ = 566222400.

The previous prime is 2241300407. The next prime is 2241300427. The reversal of 2241300420 is 240031422.

2241300420 is a `hidden beast` number, since 2 + 241 + 3 + 0 + 0 + 420 = 666.

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 = 2241300393 and 2241300402.

It is not an unprimeable number, because it can be changed into a prime (2241300427) 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, 324256 + ... + 331095.

Almost surely, 22241300420 is an apocalyptic number.

2241300420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241300420 is an abundant number, since it is smaller than the sum of its proper divisors (4915143420).

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

2241300420 is a wasteful number, since it uses less digits than its factorization.

2241300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655385 (or 655380 counting only the distinct ones).

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

The square root of 2241300420 is about 47342.3744651660. The cubic root of 2241300420 is about 1308.6796750963.

Adding to 2241300420 its reverse (240031422), we get a palindrome (2481331842).

The spelling of 2241300420 in words is "two billion, two hundred forty-one million, three hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 655351 1310702 1966053 2621404 3276755 3932106 5898159 6553510 7864212 9830265 11796318 12451669 13107020 19660530 23592636 24903338 29490795 37355007 39321060 49806676 58981590 62258345 74710014 112065021 117963180 124516690 149420028 186775035 224130042 249033380 373550070 448260084 560325105 747100140 1120650210 2241300420