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2225773220 = 2251121516091
BaseRepresentation
bin1000010010101010…
…1001101010100100
312202010011222212012
42010222221222210
514024244220340
61004510013352
7106104521516
oct20452515244
95663158765
102225773220
11a42433400
125214a7258
13296186798
14171869bb6
15d060d565
hex84aa9aa4

2225773220 has 72 divisors (see below), whose sum is σ = 5172546624. Its totient is φ = 803880000.

The previous prime is 2225773211. The next prime is 2225773241. The reversal of 2225773220 is 223775222.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362375 + ... + 368465.

Almost surely, 22225773220 is an apocalyptic number.

2225773220 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 2225773220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586273312).

2225773220 is an abundant number, since it is smaller than the sum of its proper divisors (2946773404).

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

2225773220 is a wasteful number, since it uses less digits than its factorization.

2225773220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6273 (or 6260 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 2225773220 is about 47178.1010639470. The cubic root of 2225773220 is about 1305.6505947962.

The spelling of 2225773220 in words is "two billion, two hundred twenty-five million, seven hundred seventy-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 151 220 242 302 484 604 605 755 1210 1510 1661 2420 3020 3322 6091 6644 8305 12182 16610 18271 24364 30455 33220 36542 60910 67001 73084 91355 121820 134002 182710 268004 335005 365420 670010 737011 919741 1340020 1474022 1839482 2948044 3678964 3685055 4598705 7370110 9197410 10117151 14740220 18394820 20234302 40468604 50585755 101171510 111288661 202343020 222577322 445154644 556443305 1112886610 2225773220