Search a number
-
+
2202231100 = 2252199371237
BaseRepresentation
bin1000001101000011…
…0110000100111100
312200110212221010211
42003100312010330
514002232343400
61002305242204
7105400440556
oct20320660474
95613787124
102202231100
11a30113903
12515633364
13291333034
1416c69c4d6
15cd50cdba
hex8343613c

2202231100 has 72 divisors (see below), whose sum is σ = 5039798960. Its totient is φ = 832965120.

The previous prime is 2202231067. The next prime is 2202231121. The reversal of 2202231100 is 11322022.

It is a congruent number.

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, 1779682 + ... + 1780918.

Almost surely, 22202231100 is an apocalyptic number.

2202231100 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 2202231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519899480).

2202231100 is an abundant number, since it is smaller than the sum of its proper divisors (2837567860).

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

2202231100 is a wasteful number, since it uses less digits than its factorization.

2202231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2202231100 is about 46927.9351772481. The cubic root of 2202231100 is about 1301.0309573372.

Adding to 2202231100 its reverse (11322022), we get a palindrome (2213553122).

The spelling of 2202231100 in words is "two billion, two hundred two million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 937 950 1237 1874 1900 2474 3748 4685 4948 6185 9370 12370 17803 18740 23425 23503 24740 30925 35606 46850 47006 61850 71212 89015 93700 94012 117515 123700 178030 235030 356060 445075 470060 587575 890150 1159069 1175150 1780300 2318138 2350300 4636276 5795345 11590690 22022311 23181380 28976725 44044622 57953450 88089244 110111555 115906900 220223110 440446220 550557775 1101115550 2202231100