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1332214100 = 225275932257
BaseRepresentation
bin100111101100111…
…1111100101010100
310102211210111011222
41033121333211110
510212021322400
6340105545512
745004430060
oct11731774524
93384714158
101332214100
11624000198
123121a5298
13183006989
14c8d08aa0
157be55185
hex4f67f954

1332214100 has 72 divisors (see below), whose sum is σ = 3359993280. Its totient is φ = 449003520.

The previous prime is 1332214099. The next prime is 1332214133. The reversal of 1332214100 is 14122331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25172 + ... + 57428.

Almost surely, 21332214100 is an apocalyptic number.

1332214100 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 1332214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679996640).

1332214100 is an abundant number, since it is smaller than the sum of its proper divisors (2027779180).

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

1332214100 is a wasteful number, since it uses less digits than its factorization.

1332214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32337 (or 32330 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1332214100 is about 36499.5082158650. The cubic root of 1332214100 is about 1100.3343611656.

Adding to 1332214100 its reverse (14122331), we get a palindrome (1346336431).

The spelling of 1332214100 in words is "one billion, three hundred thirty-two million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 295 350 413 590 700 826 1180 1475 1652 2065 2950 4130 5900 8260 10325 20650 32257 41300 64514 129028 161285 225799 322570 451598 645140 806425 903196 1128995 1612850 1903163 2257990 3225700 3806326 4515980 5644975 7612652 9515815 11289950 13322141 19031630 22579900 26644282 38063260 47579075 53288564 66610705 95158150 133221410 190316300 266442820 333053525 666107050 1332214100