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23223332120 = 23517257132887
BaseRepresentation
bin10101101000001101…
…111110110100011000
32012221110210111122212
4111220031332310120
5340030133111440
614400232334252
71451332031432
oct255015766430
965843714585
1023223332120
119937a6916a
124601544388
132261425451
1411a4425652
1590dc27465
hex56837ed18

23223332120 has 64 divisors (see below), whose sum is σ = 55541868480. Its totient is φ = 8708816896.

The previous prime is 23223332117. The next prime is 23223332129. The reversal of 23223332120 is 2123332232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23223332129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108317 + ... + 241203.

It is an arithmetic number, because the mean of its divisors is an integer number (867841695).

Almost surely, 223223332120 is an apocalyptic number.

23223332120 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 23223332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27770934240).

23223332120 is an abundant number, since it is smaller than the sum of its proper divisors (32318536360).

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

23223332120 is a wasteful number, since it uses less digits than its factorization.

23223332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133172 (or 133168 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 23223332120 its reverse (2123332232), we get a palindrome (25346664352).

The spelling of 23223332120 in words is "twenty-three billion, two hundred twenty-three million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 257 340 514 680 1028 1285 2056 2570 4369 5140 8738 10280 17476 21845 34952 43690 87380 132887 174760 265774 531548 664435 1063096 1328870 2259079 2657740 4518158 5315480 9036316 11295395 18072632 22590790 34151959 45181580 68303918 90363160 136607836 170759795 273215672 341519590 580583303 683039180 1161166606 1366078360 2322333212 2902916515 4644666424 5805833030 11611666060 23223332120