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223232380092 = 2232171103330697
BaseRepresentation
bin1100111111100110101…
…1111100110010111100
3210100012110002212122100
43033321223330302330
512124134442130332
6250315044345100
722061622631401
oct3177153746274
9710173085570
10223232380092
118674394a227
12373200a5190
1318087591a47
14ab397c02a8
155c17d8767c
hex33f9afccbc

223232380092 has 72 divisors (see below), whose sum is σ = 598018389696. Its totient is φ = 69969982464.

The previous prime is 223232380087. The next prime is 223232380097. The reversal of 223232380092 is 290083232322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (223232380087) and next prime (223232380097).

It is a super-3 number, since 3×2232323800923 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223232380097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509688 + ... + 840384.

It is an arithmetic number, because the mean of its divisors is an integer number (8305810968).

Almost surely, 2223232380092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223232380092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299009194848).

223232380092 is an abundant number, since it is smaller than the sum of its proper divisors (374786009604).

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

223232380092 is a wasteful number, since it uses less digits than its factorization.

223232380092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331827 (or 331822 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 223232380092 in words is "two hundred twenty-three billion, two hundred thirty-two million, three hundred eighty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1103 2206 3309 4412 6618 9927 13236 18751 19854 37502 39708 56253 75004 112506 168759 225012 330697 337518 661394 675036 992091 1322788 1984182 2976273 3968364 5621849 5952546 11243698 11905092 16865547 22487396 33731094 50596641 67462188 101193282 202386564 364758791 729517582 1094276373 1459035164 2188552746 3282829119 4377105492 6200899447 6565658238 12401798894 13131316476 18602698341 24803597788 37205396682 55808095023 74410793364 111616190046 223232380092