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221212001140 = 2251315111934723
BaseRepresentation
bin1100111000000101000…
…0110100001101110100
3210010222122101222202021
43032001100310031310
512111020233014030
6245342352522524
721660560661634
oct3160120641564
9703878358667
10221212001140
11858a7453659
1236a57550444
1317b24b30940
14a9c733c6c4
155b4a7eb97a
hex3381434374

221212001140 has 96 divisors (see below), whose sum is σ = 504121395456. Its totient is φ = 81052185600.

The previous prime is 221212001111. The next prime is 221212001173. The reversal of 221212001140 is 41100212122.

It is a super-2 number, since 2×2212120011402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46834819 + ... + 46839541.

It is an arithmetic number, because the mean of its divisors is an integer number (5251264536).

Almost surely, 2221212001140 is an apocalyptic number.

221212001140 is a gapful number since it is divisible by the number (20) 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 221212001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252060697728).

221212001140 is an abundant number, since it is smaller than the sum of its proper divisors (282909394316).

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

221212001140 is a wasteful number, since it uses less digits than its factorization.

221212001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089 (or 6087 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221212001140 its reverse (41100212122), we get a palindrome (262312213262).

The spelling of 221212001140 in words is "two hundred twenty-one billion, two hundred twelve million, one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 260 302 604 755 1193 1510 1963 2386 3020 3926 4723 4772 5965 7852 9446 9815 11930 15509 18892 19630 23615 23860 31018 39260 47230 61399 62036 77545 94460 122798 155090 180143 245596 306995 310180 360286 613990 713173 720572 900715 1227980 1426346 1801430 2341859 2852692 3565865 3602860 4683718 5634539 7131730 9271249 9367436 11269078 11709295 14263460 18542498 22538156 23418590 28172695 37084996 46356245 46837180 56345390 73249007 92712490 112690780 146498014 185424980 292996028 366245035 732490070 850815389 1464980140 1701630778 3403261556 4254076945 8508153890 11060600057 17016307780 22121200114 44242400228 55303000285 110606000570 221212001140