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22212011000 = 2353145315287
BaseRepresentation
bin10100101011111100…
…000110001111111000
32010022222211001220002
4110223330012033320
5330442233323000
614112024252132
71414301656364
oct245374061770
963288731802
1022212011000
119469112693
12437a911048
13212ca5329a
141109dac2a4
158a005b8d5
hex52bf063f8

22212011000 has 64 divisors (see below), whose sum is σ = 52015279680. Its totient is φ = 8878108800.

The previous prime is 22212010993. The next prime is 22212011057. The reversal of 22212011000 is 11021222.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 1445357 + ... + 1460643.

It is an arithmetic number, because the mean of its divisors is an integer number (812738745).

Almost surely, 222212011000 is an apocalyptic number.

22212011000 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 22212011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26007639840).

22212011000 is an abundant number, since it is smaller than the sum of its proper divisors (29803268680).

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

22212011000 is a wasteful number, since it uses less digits than its factorization.

22212011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16761 (or 16747 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22212011000 its reverse (11021222), we get a palindrome (22223032222).

The spelling of 22212011000 in words is "twenty-two billion, two hundred twelve million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1453 2906 5812 7265 11624 14530 15287 29060 30574 36325 58120 61148 72650 76435 122296 145300 152870 181625 290600 305740 363250 382175 611480 726500 764350 1453000 1528700 1910875 3057400 3821750 7643500 15287000 22212011 44424022 88848044 111060055 177696088 222120110 444240220 555300275 888480440 1110600550 2221201100 2776501375 4442402200 5553002750 11106005500 22212011000