Search a number
-
+
11322223000 = 2353113133203
BaseRepresentation
bin10101000101101101…
…10110100110011000
31002020001202112002121
422202312312212120
5141141442114000
65111254311024
7550401210334
oct124266664630
932201675077
1011322223000
1148901107a0
12223b958474
1310b590664a
147959ca7c4
15463edcb1a
hex2a2db6998

11322223000 has 128 divisors (see below), whose sum is σ = 29835786240. Its totient is φ = 3984240000.

The previous prime is 11322222979. The next prime is 11322223027. The reversal of 11322223000 is 32222311.

11322223000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324399 + ... + 357601.

It is an arithmetic number, because the mean of its divisors is an integer number (233092080).

Almost surely, 211322223000 is an apocalyptic number.

11322223000 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 11322223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14917893120).

11322223000 is an abundant number, since it is smaller than the sum of its proper divisors (18513563240).

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

11322223000 is a wasteful number, since it uses less digits than its factorization.

11322223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33266 (or 33252 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11322223000 its reverse (32222311), we get a palindrome (11354445311).

The spelling of 11322223000 in words is "eleven billion, three hundred twenty-two million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 682 775 1000 1100 1240 1364 1375 1550 1705 2200 2728 2750 3100 3410 3875 5500 6200 6820 7750 8525 11000 13640 15500 17050 31000 33203 34100 42625 66406 68200 85250 132812 166015 170500 265624 332030 341000 365233 664060 730466 830075 1029293 1328120 1460932 1660150 1826165 2058586 2921864 3320300 3652330 4117172 4150375 5146465 6640600 7304660 8234344 8300750 9130825 10292930 11322223 14609320 16601500 18261650 20585860 22644446 25732325 33203000 36523300 41171720 45288892 45654125 51464650 56611115 73046600 90577784 91308250 102929300 113222230 128661625 182616500 205858600 226444460 257323250 283055575 365233000 452888920 514646500 566111150 1029293000 1132222300 1415277875 2264444600 2830555750 5661111500 11322223000