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2223013212 = 2232729331919
BaseRepresentation
bin1000010010000000…
…0111110101011100
312201220222202211200
42010200013311130
514023042410322
61004330515500
7106042205040
oct20440076534
95656882750
102223013212
11a40918802
12520595b90
1329572b444
1417134c020
15d02658ac
hex84807d5c

2223013212 has 144 divisors (see below), whose sum is σ = 6670809600. Its totient is φ = 610727040.

The previous prime is 2223013201. The next prime is 2223013213. The reversal of 2223013212 is 2123103222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223013213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2418489 + ... + 2419407.

Almost surely, 22223013212 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 2223013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335404800).

2223013212 is an abundant number, since it is smaller than the sum of its proper divisors (4447796388).

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

2223013212 is a wasteful number, since it uses less digits than its factorization.

2223013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1291 counting only the distinct ones).

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

The square root of 2223013212 is about 47148.8410462018. The cubic root of 2223013212 is about 1305.1106930371.

Adding to 2223013212 its reverse (2123103222), we get a palindrome (4346116434).

The spelling of 2223013212 in words is "two billion, two hundred twenty-three million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 331 348 406 522 609 662 812 919 993 1044 1218 1324 1827 1838 1986 2317 2436 2757 2979 3654 3676 3972 4634 5514 5958 6433 6951 7308 8271 9268 9599 11028 11916 12866 13902 16542 19198 19299 20853 25732 26651 27804 28797 33084 38396 38598 41706 53302 57594 57897 67193 77196 79953 83412 86391 106604 115188 115794 134386 159906 172782 186557 201579 231588 239859 268772 304189 319812 345564 373114 403158 479718 559671 604737 608378 746228 806316 912567 959436 1119342 1209474 1216756 1679013 1825134 2129323 2238684 2418948 2737701 3358026 3650268 4258646 5475402 6387969 6716052 8517292 8821481 10950804 12775938 17642962 19163907 25551876 26464443 35285924 38327814 52928886 61750367 76655628 79393329 105857772 123500734 158786658 185251101 247001468 317573316 370502202 555753303 741004404 1111506606 2223013212