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2223230331100 = 22521131493131779
BaseRepresentation
bin100000010110100010110…
…110101010100011011100
321212112112202002121220211
4200112202312222203130
5242411133431043400
64421200553422204
7316423502003632
oct40264266524334
97775482077824
102223230331100
11787959620629
122baa6340a964
1313185a58959c
1479867c99352
153cc70aacdba
hex205a2daa8dc

2223230331100 has 72 divisors (see below), whose sum is σ = 4870400618160. Its totient is φ = 880825236480.

The previous prime is 2223230331089. The next prime is 2223230331103. The reversal of 2223230331100 is 11330323222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223230331103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16805011 + ... + 16936789.

It is an arithmetic number, because the mean of its divisors is an integer number (67644453030).

Almost surely, 22223230331100 is an apocalyptic number.

2223230331100 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 2223230331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435200309080).

2223230331100 is an abundant number, since it is smaller than the sum of its proper divisors (2647170287060).

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

2223230331100 is a wasteful number, since it uses less digits than its factorization.

2223230331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133399 (or 133392 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2223230331100 its reverse (11330323222), we get a palindrome (2234560654322).

The spelling of 2223230331100 in words is "two trillion, two hundred twenty-three billion, two hundred thirty million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 1493 2260 2825 2986 5650 5972 7465 11300 14930 29860 37325 74650 131779 149300 168709 263558 337418 527116 658895 674836 843545 1317790 1687090 2635580 3294475 3374180 4217725 6588950 8435450 13177900 14891027 16870900 29782054 59564108 74455135 148910270 196746047 297820540 372275675 393492094 744551350 786984188 983730235 1489102700 1967460470 3934920940 4918651175 9837302350 19674604700 22232303311 44464606622 88929213244 111161516555 222323033110 444646066220 555807582775 1111615165550 2223230331100