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1330022200 = 2352131730091
BaseRepresentation
bin100111101000110…
…1000011100111000
310102200200010110111
41033101220130320
510210441202300
6335550554104
744650000513
oct11721503470
93380603414
101330022200
11622843401
12311508934
1318271a0b0
14c88d7d7a
157bb709ba
hex4f468738

1330022200 has 96 divisors (see below), whose sum is σ = 3526180560. Its totient is φ = 462182400.

The previous prime is 1330022179. The next prime is 1330022231. The reversal of 1330022200 is 22200331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29155 + ... + 59245.

Almost surely, 21330022200 is an apocalyptic number.

1330022200 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 1330022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763090280).

1330022200 is an abundant number, since it is smaller than the sum of its proper divisors (2196158360).

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

1330022200 is a wasteful number, since it uses less digits than its factorization.

1330022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30137 (or 30128 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1330022200 is about 36469.4694230667. The cubic root of 1330022200 is about 1099.7305676198.

Adding to 1330022200 its reverse (22200331), we get a palindrome (1352222531).

The spelling of 1330022200 in words is "one billion, three hundred thirty million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 325 340 425 442 520 650 680 850 884 1105 1300 1700 1768 2210 2600 3400 4420 5525 8840 11050 22100 30091 44200 60182 120364 150455 240728 300910 391183 511547 601820 752275 782366 1023094 1203640 1504550 1564732 1955915 2046188 2557735 3009100 3129464 3911830 4092376 5115470 6018200 6650111 7823660 9779575 10230940 12788675 13300222 15647320 19559150 20461880 25577350 26600444 33250555 39118300 51154700 53200888 66501110 78236600 102309400 133002220 166252775 266004440 332505550 665011100 1330022200