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2221002012000 = 25353185083501
BaseRepresentation
bin100000010100011110000…
…010010011010101100000
321212022210110010021202210
4200110132002103111200
5242342103003341000
64420151513042120
7316314333416532
oct40243602232540
97768713107683
102221002012000
11786a158094a2
122ba5410b6340
13131593a21085
14796d5d69852
153cb9014a350
hex2051e093560

2221002012000 has 96 divisors (see below), whose sum is σ = 7276002630624. Its totient is φ = 592267200000.

The previous prime is 2221002011971. The next prime is 2221002012011. The reversal of 2221002012000 is 2102001222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 92529751 + ... + 92553750.

It is an arithmetic number, because the mean of its divisors is an integer number (75791694069).

Almost surely, 22221002012000 is an apocalyptic number.

2221002012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221002012000 is an abundant number, since it is smaller than the sum of its proper divisors (5055000618624).

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

2221002012000 is a wasteful number, since it uses less digits than its factorization.

2221002012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185083529 (or 185083511 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2221002012000 its reverse (2102001222), we get a palindrome (2223104013222).

The spelling of 2221002012000 in words is "two trillion, two hundred twenty-one billion, two million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 185083501 370167002 555250503 740334004 925417505 1110501006 1480668008 1850835010 2221002012 2776252515 2961336016 3701670020 4442004024 4627087525 5552505030 5922672032 7403340040 8884008048 9254175050 11105010060 13881262575 14806680080 17768016096 18508350100 22210020120 23135437625 27762525150 29613360160 37016700200 44420040240 46270875250 55525050300 69406312875 74033400400 88840080480 92541750500 111050100600 138812625750 148066800800 185083501000 222100201200 277625251500 370167002000 444200402400 555250503000 740334004000 1110501006000 2221002012000