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2223021330000 = 24325424700237
BaseRepresentation
bin100000010110010110011…
…001011000111001010000
321212112000011211021022100
4200112112121120321100
5242410221430030000
64421124130040400
7316415353350162
oct40262631307120
97775004737270
102223021330000
1178786164aa49
122baa05419100
131318261a02b3
1479848212932
153cc5c576a00
hex20596658e50

2223021330000 has 150 divisors (see below), whose sum is σ = 7774227008834. Its totient is φ = 592805664000.

The previous prime is 2223021329929. The next prime is 2223021330091. The reversal of 2223021330000 is 331203222.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1438330084416 + 784691245584 = 1199304^2 + 885828^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12260119 + ... + 12440118.

Almost surely, 22223021330000 is an apocalyptic number.

2223021330000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223021330000 is an abundant number, since it is smaller than the sum of its proper divisors (5551205678834).

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

2223021330000 is a wasteful number, since it uses less digits than its factorization.

2223021330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24700271 (or 24700247 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2223021330000 its reverse (331203222), we get a palindrome (2223352533222).

The spelling of 2223021330000 in words is "two trillion, two hundred twenty-three billion, twenty-one million, three hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 24700237 49400474 74100711 98800948 123501185 148201422 197601896 222302133 247002370 296402844 370503555 395203792 444604266 494004740 592805688 617505925 741007110 889208532 988009480 1111510665 1185611376 1235011850 1482014220 1778417064 1852517775 1976018960 2223021330 2470023700 2964028440 3087529625 3556834128 3705035550 4446042660 4940047400 5557553325 5928056880 6175059250 7410071100 8892085320 9262588875 9880094800 11115106650 12350118500 14820142200 15437648125 17784170640 18525177750 22230213300 24700237000 27787766625 29640284400 30875296250 37050355500 44460426600 46312944375 49400474000 55575533250 61750592500 74100711000 88920853200 92625888750 111151066500 123501185000 138938833125 148201422000 185251777500 222302133000 247002370000 277877666250 370503555000 444604266000 555755332500 741007110000 1111510665000 2223021330000