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23222032120 = 23571811912399
BaseRepresentation
bin10101101000001001…
…000001011011111000
32012221101100110101201
4111220021001123320
5340024320011440
614400144423544
71451315005360
oct255011013370
965841313351
1023222032120
119937260491
124601017bb4
13226108b811
1411a41a79a0
1590da6c19a
hex5682416f8

23222032120 has 128 divisors (see below), whose sum is σ = 60383232000. Its totient is φ = 7873113600.

The previous prime is 23222032073. The next prime is 23222032129. The reversal of 23222032120 is 2123022232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23222032129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9678681 + ... + 9681079.

It is an arithmetic number, because the mean of its divisors is an integer number (471744000).

Almost surely, 223222032120 is an apocalyptic number.

23222032120 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 23222032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191616000).

23222032120 is an abundant number, since it is smaller than the sum of its proper divisors (37161199880).

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

23222032120 is a wasteful number, since it uses less digits than its factorization.

23222032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 23222032120 its reverse (2123022232), we get a palindrome (25345054352).

The spelling of 23222032120 in words is "twenty-three billion, two hundred twenty-two million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 181 191 280 362 382 724 764 905 955 1267 1337 1448 1528 1810 1910 2399 2534 2674 3620 3820 4798 5068 5348 6335 6685 7240 7640 9596 10136 10696 11995 12670 13370 16793 19192 23990 25340 26740 33586 34571 47980 50680 53480 67172 69142 83965 95960 134344 138284 167930 172855 241997 276568 335860 345710 434219 458209 483994 671720 691420 868438 916418 967988 1209985 1382840 1736876 1832836 1935976 2171095 2291045 2419970 3039533 3207463 3473752 3665672 4342190 4582090 4839940 6079066 6414926 8684380 9164180 9679880 12158132 12829852 15197665 16037315 17368760 18328360 24316264 25659704 30395330 32074630 60790660 64149260 82935829 121581320 128298520 165871658 331743316 414679145 580550803 663486632 829358290 1161101606 1658716580 2322203212 2902754015 3317433160 4644406424 5805508030 11611016060 23222032120