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22033221300 = 22325224481357
BaseRepresentation
bin10100100001010010…
…000100011010110100
32002212112101121112100
4110201102010122310
5330111001040200
614042200222100
71410001201536
oct244122043264
962775347470
1022033221300
1193871a7302
12432aa6a930
1321019b426c
1410d034b856
1588e4e1d00
hex5214846b4

22033221300 has 54 divisors (see below), whose sum is σ = 69061910918. Its totient is φ = 5875525440.

The previous prime is 22033221233. The next prime is 22033221307. The reversal of 22033221300 is 312233022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9474084 + 22023747216 = 3078^2 + 148404^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22033221307) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 12239779 + ... + 12241578.

Almost surely, 222033221300 is an apocalyptic number.

22033221300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22033221300 is an abundant number, since it is smaller than the sum of its proper divisors (47028689618).

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

22033221300 is a wasteful number, since it uses less digits than its factorization.

22033221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24481377 (or 24481367 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22033221300 its reverse (312233022), we get a palindrome (22345454322).

The spelling of 22033221300 in words is "twenty-two billion, thirty-three million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 24481357 48962714 73444071 97925428 122406785 146888142 220332213 244813570 293776284 367220355 440664426 489627140 612033925 734440710 881328852 1101661065 1224067850 1468881420 1836101775 2203322130 2448135700 3672203550 4406644260 5508305325 7344407100 11016610650 22033221300