Search a number
-
+
2201905080 = 233352038801
BaseRepresentation
bin1000001100111110…
…0110011110111000
312200110021100221000
42003033212132320
514002141430310
61002254245000
7105364612224
oct20317463670
95613240830
102201905080
11a2aa10971
125154b6760
1329124a81b
1416c615784
15cd4964c0
hex833e67b8

2201905080 has 64 divisors (see below), whose sum is σ = 7339687200. Its totient is φ = 587174400.

The previous prime is 2201905067. The next prime is 2201905129. The reversal of 2201905080 is 805091022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018321 + ... + 1020480.

Almost surely, 22201905080 is an apocalyptic number.

2201905080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201905080 is an abundant number, since it is smaller than the sum of its proper divisors (5137782120).

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

2201905080 is a wasteful number, since it uses less digits than its factorization.

2201905080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038821 (or 2038811 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2201905080 is about 46924.4614247196. The cubic root of 2201905080 is about 1300.9667522914.

The spelling of 2201905080 in words is "two billion, two hundred one million, nine hundred five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2038801 4077602 6116403 8155204 10194005 12232806 16310408 18349209 20388010 24465612 30582015 36698418 40776020 48931224 55047627 61164030 73396836 81552040 91746045 110095254 122328060 146793672 183492090 220190508 244656120 275238135 366984180 440381016 550476270 733968360 1100952540 2201905080