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2245335552 = 293518047
BaseRepresentation
bin1000010111010101…
…0001101000000000
312210110222212100000
42011311101220000
514044301214202
61010445200000
7106433015535
oct20565215000
95713885300
102245335552
11a52484919
12527b60000
1329a245925
141742bcd8c
15d21c491c
hex85d51a00

2245335552 has 120 divisors (see below), whose sum is σ = 6720569856. Its totient is φ = 748403712.

The previous prime is 2245335539. The next prime is 2245335577. The reversal of 2245335552 is 2555335422.

2245335552 is a `hidden beast` number, since 2 + 24 + 53 + 35 + 552 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115393 + ... + 133439.

Almost surely, 22245335552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245335552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360284928).

2245335552 is an abundant number, since it is smaller than the sum of its proper divisors (4475234304).

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

2245335552 is an frugal number, since it uses more digits than its factorization.

2245335552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18080 (or 18052 counting only the distinct ones).

The product of its digits is 180000, while the sum is 36.

The square root of 2245335552 is about 47384.9717948634. The cubic root of 2245335552 is about 1309.4645660633.

The spelling of 2245335552 in words is "two billion, two hundred forty-five million, three hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 6912 7776 10368 13824 15552 18047 20736 31104 36094 41472 54141 62208 72188 108282 124416 144376 162423 216564 288752 324846 433128 487269 577504 649692 866256 974538 1155008 1299384 1461807 1732512 1949076 2310016 2598768 2923614 3465024 3898152 4385421 4620032 5197536 5847228 6930048 7796304 8770842 9240064 10395072 11694456 13860096 15592608 17541684 20790144 23388912 27720192 31185216 35083368 41580288 46777824 62370432 70166736 83160576 93555648 124740864 140333472 187111296 249481728 280666944 374222592 561333888 748445184 1122667776 2245335552