Search a number
-
+
32223031120 = 2457219134297
BaseRepresentation
bin11110000000101001…
…000110111101010000
310002011200022120210001
4132000221012331100
51011443043443440
622445243215344
72220342150100
oct360051067520
9102150276701
1032223031120
1112736074235
1262b3517554
133066acb727
1417b979d200
15c88d94b9a
hex780a46f50

32223031120 has 120 divisors (see below), whose sum is σ = 87215995944. Its totient is φ = 11039551488.

The previous prime is 32223031091. The next prime is 32223031163. The reversal of 32223031120 is 2113032223.

It can be written as a sum of positive squares in 4 ways, for example, as 8756467776 + 23466563344 = 93576^2 + 153188^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7496812 + ... + 7501108.

Almost surely, 232223031120 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 32223031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43607997972).

32223031120 is an abundant number, since it is smaller than the sum of its proper divisors (54992964824).

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

32223031120 is a wasteful number, since it uses less digits than its factorization.

32223031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6237 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 32223031120 its reverse (2113032223), we get a palindrome (34336063343).

The spelling of 32223031120 in words is "thirty-two billion, two hundred twenty-three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1913 1960 3826 3920 4297 7652 8594 9565 13391 15304 17188 19130 21485 26782 30079 30608 34376 38260 42970 53564 60158 66955 68752 76520 85940 93737 107128 120316 133910 150395 153040 171880 187474 210553 214256 240632 267820 300790 343760 374948 421106 468685 481264 535640 601580 749896 842212 937370 1052765 1071280 1203160 1499792 1684424 1874740 2105530 2406320 3368848 3749480 4211060 7498960 8220161 8422120 16440322 16844240 32880644 41100805 57541127 65761288 82201610 115082254 131522576 164403220 230164508 287705635 328806440 402787889 460329016 575411270 657612880 805575778 920658032 1150822540 1611151556 2013939445 2301645080 3222303112 4027878890 4603290160 6444606224 8055757780 16111515560 32223031120