Search a number
-
+
1002220200 = 233252556789
BaseRepresentation
bin111011101111001…
…010101010101000
32120211212001122200
4323233022222220
54023032021300
6243241020200
733556505532
oct7357125250
92524761580
101002220200
114747aa963
1223b784660
1312c836907
1497168852
155cebe200
hex3bbcaaa8

1002220200 has 72 divisors (see below), whose sum is σ = 3365795550. Its totient is φ = 267258240.

The previous prime is 1002220183. The next prime is 1002220201. The reversal of 1002220200 is 20222001.

It can be written as a sum of positive squares in 3 ways, for example, as 963357444 + 38862756 = 31038^2 + 6234^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1002220201) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 276595 + ... + 280194.

Almost surely, 21002220200 is an apocalyptic number.

1002220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002220200 is an abundant number, since it is smaller than the sum of its proper divisors (2363575350).

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

1002220200 is a wasteful number, since it uses less digits than its factorization.

1002220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556811 (or 556799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1002220200 is about 31657.8615828675. The cubic root of 1002220200 is about 1000.7395196426.

Adding to 1002220200 its reverse (20222001), we get a palindrome (1022442201).

The spelling of 1002220200 in words is "one billion, two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 556789 1113578 1670367 2227156 2783945 3340734 4454312 5011101 5567890 6681468 8351835 10022202 11135780 13362936 13919725 16703670 20044404 22271560 25055505 27839450 33407340 40088808 41759175 50111010 55678900 66814680 83518350 100222020 111357800 125277525 167036700 200444040 250555050 334073400 501110100 1002220200