Search a number
-
+
2245211000 = 235319118169
BaseRepresentation
bin1000010111010011…
…0011001101111000
312210110202112110222
42011310303031320
514044233223000
61010442355212
7106431656444
oct20564631570
95713675428
102245211000
11a523aa28a
12527abbb08
1329a201026
14174289824
15d219ca85
hex85d33378

2245211000 has 64 divisors (see below), whose sum is σ = 5530356000. Its totient is φ = 850809600.

The previous prime is 2245210993. The next prime is 2245211011. The reversal of 2245211000 is 1125422.

2245211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2245211000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40085 + ... + 78084.

Almost surely, 22245211000 is an apocalyptic number.

2245211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245211000 is an abundant number, since it is smaller than the sum of its proper divisors (3285145000).

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

2245211000 is a wasteful number, since it uses less digits than its factorization.

2245211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118209 (or 118195 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2245211000 is about 47383.6575202886. The cubic root of 2245211000 is about 1309.4403529865.

Adding to 2245211000 its reverse (1125422), we get a palindrome (2246336422).

The spelling of 2245211000 in words is "two billion, two hundred forty-five million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 118169 236338 472676 590845 945352 1181690 2245211 2363380 2954225 4490422 4726760 5908450 8980844 11226055 11816900 14771125 17961688 22452110 23633800 29542250 44904220 56130275 59084500 89808440 112260550 118169000 224521100 280651375 449042200 561302750 1122605500 2245211000