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11332223000 = 235379771657
BaseRepresentation
bin10101000110111010…
…00000000000011000
31002020202120120111222
422203131000000120
5141202022114000
65112252511212
7550552210010
oct124335000030
932222516458
1011332223000
11489582095a
12224317b508
1310b79c81c7
14797070c40
15464d15a85
hex2a3740018

11332223000 has 128 divisors (see below), whose sum is σ = 30354929280. Its totient is φ = 3879014400.

The previous prime is 11332222943. The next prime is 11332223009. The reversal of 11332223000 is 32223311.

It is a self number, because there is not a number n which added to its sum of digits gives 11332223000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332223009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6838172 + ... + 6839828.

It is an arithmetic number, because the mean of its divisors is an integer number (237147885).

Almost surely, 211332223000 is an apocalyptic number.

11332223000 is a gapful number since it is divisible by the number (10) 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 11332223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177464640).

11332223000 is an abundant number, since it is smaller than the sum of its proper divisors (19022706280).

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

11332223000 is a wasteful number, since it uses less digits than its factorization.

11332223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 11332223000 its reverse (32223311), we get a palindrome (11364446311).

The spelling of 11332223000 in words is "eleven billion, three hundred thirty-two million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 977 1000 1400 1657 1750 1954 3314 3500 3908 4885 6628 6839 7000 7816 8285 9770 11599 13256 13678 16570 19540 23198 24425 27356 33140 34195 39080 41425 46396 48850 54712 57995 66280 68390 82850 92792 97700 115990 122125 136780 165700 170975 195400 207125 231980 244250 273560 289975 331400 341950 414250 463960 488500 579950 683900 828500 854875 977000 1159900 1367800 1449875 1618889 1657000 1709750 2319800 2899750 3237778 3419500 5799500 6475556 6839000 8094445 11332223 11599000 12951112 16188890 22664446 32377780 40472225 45328892 56661115 64755560 80944450 90657784 113322230 161888900 202361125 226644460 283305575 323777800 404722250 453288920 566611150 809444500 1133222300 1416527875 1618889000 2266444600 2833055750 5666111500 11332223000