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1331222000 = 24531315081
BaseRepresentation
bin100111101011000…
…1101010111110000
310102202221002021112
41033112031113300
510211243101000
6340032412452
744663125463
oct11726152760
93382832245
101331222000
11623492879
123119a7128
13182a4a234
14c8b2b2da
157bd0b235
hex4f58d5f0

1331222000 has 80 divisors (see below), whose sum is σ = 3244104864. Its totient is φ = 528320000.

The previous prime is 1331221987. The next prime is 1331222021. The reversal of 1331222000 is 2221331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 259460 + ... + 264540.

Almost surely, 21331222000 is an apocalyptic number.

1331222000 is a gapful number since it is divisible by the number (10) 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 1331222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622052432).

1331222000 is an abundant number, since it is smaller than the sum of its proper divisors (1912882864).

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

1331222000 is a wasteful number, since it uses less digits than its factorization.

1331222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1331222000 is about 36485.9150906209. The cubic root of 1331222000 is about 1100.0611536249.

Adding to 1331222000 its reverse (2221331), we get a palindrome (1333443331).

The spelling of 1331222000 in words is "one billion, three hundred thirty-one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 131 200 250 262 400 500 524 655 1000 1048 1310 2000 2096 2620 3275 5081 5240 6550 10162 10480 13100 16375 20324 25405 26200 32750 40648 50810 52400 65500 81296 101620 127025 131000 203240 254050 262000 406480 508100 635125 665611 1016200 1270250 1331222 2032400 2540500 2662444 3328055 5081000 5324888 6656110 10162000 10649776 13312220 16640275 26624440 33280550 53248880 66561100 83201375 133122200 166402750 266244400 332805500 665611000 1331222000