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2221000012 = 2271124159271
BaseRepresentation
bin1000010001100001…
…1100010101001100
312201210012111020201
42010120130111030
514022034000022
61004215423244
7106016121460
oct20430342514
95653174221
102221000012
11a3a773200
1251b984b24
132951a4cba
14170d864a0
15ceeb9127
hex8461c54c

2221000012 has 144 divisors (see below), whose sum is σ = 5105157120. Its totient is φ = 826848000.

The previous prime is 2220999997. The next prime is 2221000043. The reversal of 2221000012 is 2100001222.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8195437 + ... + 8195707.

It is an arithmetic number, because the mean of its divisors is an integer number (35452480).

Almost surely, 22221000012 is an apocalyptic number.

2221000012 is a gapful number since it is divisible by the number (22) 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 2221000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552578560).

2221000012 is an abundant number, since it is smaller than the sum of its proper divisors (2884157108).

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

2221000012 is a wasteful number, since it uses less digits than its factorization.

2221000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2221000012 is about 47127.4867991070. The cubic root of 2221000012 is about 1304.7165969536.

Adding to 2221000012 its reverse (2100001222), we get a palindrome (4321001234).

It can be divided in two parts, 22 and 21000012, that multiplied together give a palindrome (462000264).

The spelling of 2221000012 in words is "two billion, two hundred twenty-one million, twelve", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 22 28 41 44 59 77 82 118 121 154 164 236 242 271 287 308 413 451 484 542 574 649 826 847 902 1084 1148 1298 1652 1694 1804 1897 2419 2596 2981 3157 3388 3794 4543 4838 4961 5962 6314 7139 7588 9086 9676 9922 11111 11924 12628 14278 15989 16933 18172 19844 20867 22222 26609 28556 31978 32791 33866 34727 41734 44444 49973 53218 63956 65582 67732 69454 77777 83468 99946 106436 111923 122221 131164 138908 155554 175879 186263 199892 223846 229537 244442 292699 311108 351758 372526 447692 459074 488884 585398 655549 703516 745052 855547 918148 1170796 1231153 1311098 1344431 1711094 1934669 2048893 2462306 2622196 2688862 3422188 3869338 4097786 4588843 4924612 5377724 7211039 7738676 8195572 9177686 9411017 13542683 14422078 18355372 18822034 27085366 28844156 37644068 50477273 54170732 79321429 100954546 158642858 201909092 317285716 555250003 1110500006 2221000012