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2245213000 = 23536593407
BaseRepresentation
bin1000010111010011…
…0011101101001000
312210110202122020001
42011310303231020
514044233304000
61010442412344
7106431665332
oct20564635510
95713678201
102245213000
11a52400838
12527b010b4
1329a201c04
1417428a452
15d219d46a
hex85d33b48

2245213000 has 64 divisors (see below), whose sum is σ = 5263315200. Its totient is φ = 896459200.

The previous prime is 2245212989. The next prime is 2245213007. The reversal of 2245213000 is 3125422.

It is not an unprimeable number, because it can be changed into a prime (2245213007) 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, 657297 + ... + 660703.

It is an arithmetic number, because the mean of its divisors is an integer number (82239300).

Almost surely, 22245213000 is an apocalyptic number.

2245213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631657600).

2245213000 is an abundant number, since it is smaller than the sum of its proper divisors (3018102200).

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

2245213000 is a wasteful number, since it uses less digits than its factorization.

2245213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2245213000 is about 47383.6786246066. The cubic root of 2245213000 is about 1309.4407417963.

Adding to 2245213000 its reverse (3125422), we get a palindrome (2248338422).

The spelling of 2245213000 in words is "two billion, two hundred forty-five million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 659 1000 1318 2636 3295 3407 5272 6590 6814 13180 13628 16475 17035 26360 27256 32950 34070 65900 68140 82375 85175 131800 136280 164750 170350 329500 340700 425875 659000 681400 851750 1703500 2245213 3407000 4490426 8980852 11226065 17961704 22452130 44904260 56130325 89808520 112260650 224521300 280651625 449042600 561303250 1122606500 2245213000