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1202468330 = 257214811657
BaseRepresentation
bin100011110101100…
…0011010111101010
310002210122201110002
41013223003113222
54430312441310
6315153023002
741540545400
oct10753032752
93083581402
101202468330
11567842288
12296854a62
13162179b2b
14b59b3470
1570876da5
hex47ac35ea

1202468330 has 48 divisors (see below), whose sum is σ = 2521042056. Its totient is φ = 411747840.

The previous prime is 1202468299. The next prime is 1202468339. The reversal of 1202468330 is 338642021.

It can be written as a sum of positive squares in 4 ways, for example, as 827310169 + 375158161 = 28763^2 + 19369^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1202468293 and 1202468302.

It is not an unprimeable number, because it can be changed into a prime (1202468339) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 724862 + ... + 726518.

Almost surely, 21202468330 is an apocalyptic number.

1202468330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1202468330 is an abundant number, since it is smaller than the sum of its proper divisors (1318573726).

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

1202468330 is a wasteful number, since it uses less digits than its factorization.

1202468330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 1202468330 is about 34676.6251241380. The cubic root of 1202468330 is about 1063.3866790802.

The spelling of 1202468330 in words is "one billion, two hundred two million, four hundred sixty-eight thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 1481 1657 2962 3314 7405 8285 10367 11599 14810 16570 20734 23198 51835 57995 72569 81193 103670 115990 145138 162386 362845 405965 725690 811930 2454017 4908034 12270085 17178119 24540170 34356238 85890595 120246833 171781190 240493666 601234165 1202468330