Search a number
-
+
22044202100 = 22522938919541
BaseRepresentation
bin10100100001111011…
…111101010001110100
32002220022001111100122
4110201323331101310
5330121303431400
614043231431112
71410163424534
oct244173752164
962808044318
1022044202100
119392417348
124332685498
13210405a38b
1410d19a94c4
15890460685
hex521efd474

22044202100 has 72 divisors (see below), whose sum is σ = 49615183800. Its totient is φ = 8491302400.

The previous prime is 22044202099. The next prime is 22044202111. The reversal of 22044202100 is 120244022.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 11194063204 + 10850138896 = 105802^2 + 104164^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1118330 + ... + 1137870.

It is an arithmetic number, because the mean of its divisors is an integer number (689099775).

Almost surely, 222044202100 is an apocalyptic number.

22044202100 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 22044202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24807591900).

22044202100 is an abundant number, since it is smaller than the sum of its proper divisors (27570981700).

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

22044202100 is a wasteful number, since it uses less digits than its factorization.

22044202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19973 (or 19966 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 22044202100 its reverse (120244022), we get a palindrome (22164446122).

The spelling of 22044202100 in words is "twenty-two billion, forty-four million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 389 580 725 778 1450 1556 1945 2900 3890 7780 9725 11281 19450 19541 22562 38900 39082 45124 56405 78164 97705 112810 195410 225620 282025 390820 488525 564050 566689 977050 1128100 1133378 1954100 2266756 2833445 5666890 7601449 11333780 14167225 15202898 28334450 30405796 38007245 56668900 76014490 152028980 190036225 220442021 380072450 440884042 760144900 881768084 1102210105 2204420210 4408840420 5511050525 11022101050 22044202100