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22212002000 = 245373167911
BaseRepresentation
bin10100101011111100…
…000100000011010000
32010022222210121112202
4110223330010003100
5330442233031000
614112024142332
71414301621216
oct245374040320
963288717482
1022212002000
119469106951
12437a9079a8
13212ca4c166
141109da8cb6
158a0058dd5
hex52bf040d0

22212002000 has 160 divisors (see below), whose sum is σ = 54830490624. Its totient is φ = 8701056000.

The previous prime is 22212001993. The next prime is 22212002039. The reversal of 22212002000 is 20021222.

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, 24381545 + ... + 24382455.

Almost surely, 222212002000 is an apocalyptic number.

22212002000 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 22212002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27415245312).

22212002000 is an abundant number, since it is smaller than the sum of its proper divisors (32618488624).

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

22212002000 is a wasteful number, since it uses less digits than its factorization.

22212002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22212002000 its reverse (20021222), we get a palindrome (22232023222).

The spelling of 22212002000 in words is "twenty-two billion, two hundred twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 167 200 250 292 334 365 400 500 584 668 730 835 911 1000 1168 1336 1460 1670 1822 1825 2000 2672 2920 3340 3644 3650 4175 4555 5840 6680 7288 7300 8350 9110 9125 12191 13360 14576 14600 16700 18220 18250 20875 22775 24382 29200 33400 36440 36500 41750 45550 48764 60955 66503 66800 72880 73000 83500 91100 97528 113875 121910 133006 146000 152137 167000 182200 195056 227750 243820 266012 304274 304775 332515 334000 364400 455500 487640 532024 608548 609550 665030 760685 911000 975280 1064048 1217096 1219100 1330060 1521370 1523875 1662575 1822000 2434192 2438200 2660120 3042740 3047750 3325150 3803425 4876400 5320240 6085480 6095500 6650300 7606850 8312875 11106001 12170960 12191000 13300600 15213700 16625750 19017125 22212002 24382000 26601200 30427400 33251500 38034250 44424004 55530005 60854800 66503000 76068500 88848008 111060010 133006000 152137000 177696016 222120020 277650025 304274000 444240040 555300050 888480080 1110600100 1388250125 2221200200 2776500250 4442400400 5553000500 11106001000 22212002000