Search a number
-
+
2246688400 = 245211510611
BaseRepresentation
bin1000010111101001…
…1011111010010000
312210120112121002111
42011322123322100
514100123012100
61010534155104
7106450351645
oct20572337220
95716477074
102246688400
11a53219280
125284b2a94
1329a5ca628
14174551dcc
15d23906ba
hex85e9be90

2246688400 has 60 divisors (see below), whose sum is σ = 5888377584. Its totient is φ = 816976000.

The previous prime is 2246688343. The next prime is 2246688401. The reversal of 2246688400 is 48866422.

2246688400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2246688401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250906 + ... + 259705.

Almost surely, 22246688400 is an apocalyptic number.

2246688400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246688400 is an abundant number, since it is smaller than the sum of its proper divisors (3641689184).

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

2246688400 is a wasteful number, since it uses less digits than its factorization.

2246688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510640 (or 510629 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 2246688400 is about 47399.2447197210. The cubic root of 2246688400 is about 1309.7275038754.

The spelling of 2246688400 in words is "two billion, two hundred forty-six million, six hundred eighty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 510611 1021222 2042444 2553055 4084888 5106110 5616721 8169776 10212220 11233442 12765275 20424440 22466884 25530550 28083605 40848880 44933768 51061100 56167210 89867536 102122200 112334420 140418025 204244400 224668840 280836050 449337680 561672100 1123344200 2246688400