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23232201984 = 283283121487
BaseRepresentation
bin10101101000101111…
…110100010100000000
32012222002111010211100
4111220233310110000
5340034420430414
614401150414400
71451500313205
oct255057642400
965862433740
1023232201984
119941a77232
124604501400
13226320c7a4
1411a5693cac
1590e8ca609
hex568bf4500

23232201984 has 108 divisors (see below), whose sum is σ = 67791761856. Its totient is φ = 7650702336.

The previous prime is 23232201983. The next prime is 23232201991. The reversal of 23232201984 is 48910223232.

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 (23232201983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130489 + ... + 251975.

Almost surely, 223232201984 is an apocalyptic number.

23232201984 is a gapful number since it is divisible by the number (24) 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 23232201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33895880928).

23232201984 is an abundant number, since it is smaller than the sum of its proper divisors (44559559872).

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

23232201984 is a wasteful number, since it uses less digits than its factorization.

23232201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121592 (or 121575 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23232201984 in words is "twenty-three billion, two hundred thirty-two million, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 576 664 747 768 996 1152 1328 1494 1992 2304 2656 2988 3984 5312 5976 7968 10624 11952 15936 21248 23904 31872 47808 63744 95616 121487 191232 242974 364461 485948 728922 971896 1093383 1457844 1943792 2186766 2915688 3887584 4373532 5831376 7775168 8747064 10083421 11662752 15550336 17494128 20166842 23325504 30250263 31100672 34988256 40333684 46651008 60500526 69976512 80667368 90750789 93302016 121001052 139953024 161334736 181501578 242002104 279906048 322669472 363003156 484004208 645338944 726006312 968008416 1290677888 1452012624 1936016832 2581355776 2904025248 3872033664 5808050496 7744067328 11616100992 23232201984