Search a number
-
+
2245035100 = 2252711291563
BaseRepresentation
bin1000010111010000…
…1000010001011100
312210110102121012011
42011310020101130
514044212110400
61010434521004
7106430324560
oct20564102134
95713377164
102245035100
11a5229a110
12527a36164
1329a16bc49
141742416a0
15d21658ba
hex85d0845c

2245035100 has 72 divisors (see below), whose sum is σ = 6073861248. Its totient is φ = 699748800.

The previous prime is 2245035059. The next prime is 2245035119. The reversal of 2245035100 is 15305422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138082 + ... + 153481.

It is an arithmetic number, because the mean of its divisors is an integer number (84359184).

Almost surely, 22245035100 is an apocalyptic number.

2245035100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245035100 is an abundant number, since it is smaller than the sum of its proper divisors (3828826148).

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

2245035100 is a wasteful number, since it uses less digits than its factorization.

2245035100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291595 (or 291588 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2245035100 is about 47381.8013587495. The cubic root of 2245035100 is about 1309.4061562639.

The spelling of 2245035100 in words is "two billion, two hundred forty-five million, thirty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 291563 583126 1166252 1457815 2040941 2915630 3207193 4081882 5831260 6414386 7289075 8163764 10204705 12828772 14578150 16035965 20409410 22450351 29156300 32071930 40818820 44900702 51023525 64143860 80179825 89801404 102047050 112251755 160359650 204094100 224503510 320719300 449007020 561258775 1122517550 2245035100