Search a number
-
+
2246457420 = 2232512480319
BaseRepresentation
bin1000010111100110…
…0011100001001100
312210120002212020200
42011321203201030
514100043114140
61010525213500
7106445400354
oct20571434114
95716085220
102246457420
11a53080789
12528401290
1329a54945c
141744d1b64
15d2347030
hex85e6384c

2246457420 has 36 divisors (see below), whose sum is σ = 6814254720. Its totient is φ = 599055264.

The previous prime is 2246457413. The next prime is 2246457491. The reversal of 2246457420 is 247546422.

2246457420 is a `hidden beast` number, since 2 + 2 + 4 + 64 + 574 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6239980 + ... + 6240339.

Almost surely, 22246457420 is an apocalyptic number.

2246457420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246457420 is an abundant number, since it is smaller than the sum of its proper divisors (4567797300).

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

2246457420 is a wasteful number, since it uses less digits than its factorization.

2246457420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12480334 (or 12480329 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2246457420 is about 47396.8081203787. The cubic root of 2246457420 is about 1309.6826183709.

The spelling of 2246457420 in words is "two billion, two hundred forty-six million, four hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12480319 24960638 37440957 49921276 62401595 74881914 112322871 124803190 149763828 187204785 224645742 249606380 374409570 449291484 561614355 748819140 1123228710 2246457420