Search a number
-
+
2022231312 = 243343110861
BaseRepresentation
bin111100010001000…
…1100110100010000
312012221011222212000
41320202030310100
513120142400222
6532355234000
7101053453053
oct17042146420
95187158760
102022231312
11948551352
124852a8900
13262c5c29a
14152804a9a
15bc8049ac
hex7888cd10

2022231312 has 80 divisors (see below), whose sum is σ = 5818556160. Its totient is φ = 672451200.

The previous prime is 2022231293. The next prime is 2022231347. The reversal of 2022231312 is 2131322202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180762 + ... + 191622.

It is an arithmetic number, because the mean of its divisors is an integer number (72731952).

Almost surely, 22022231312 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 2022231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909278080).

2022231312 is an abundant number, since it is smaller than the sum of its proper divisors (3796324848).

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

2022231312 is a wasteful number, since it uses less digits than its factorization.

2022231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11309 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2022231312 is about 44969.2262775334. The cubic root of 2022231312 is about 1264.5721419084.

Adding to 2022231312 its reverse (2131322202), we get a palindrome (4153553514).

The spelling of 2022231312 in words is "two billion, twenty-two million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 431 432 862 1293 1724 2586 3448 3879 5172 6896 7758 10344 10861 11637 15516 20688 21722 23274 31032 32583 43444 46548 62064 65166 86888 93096 97749 130332 173776 186192 195498 260664 293247 390996 521328 586494 781992 1172988 1563984 2345976 4681091 4691952 9362182 14043273 18724364 28086546 37448728 42129819 56173092 74897456 84259638 112346184 126389457 168519276 224692368 252778914 337038552 505557828 674077104 1011115656 2022231312