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1214800352 = 25475411493
BaseRepresentation
bin100100001101000…
…0110000111100000
310010122212020210122
41020122012013200
54441442102402
6320313215412
742050426663
oct11032060740
93118766718
101214800352
115737a5537
1229aa01568
131648a6c9c
14b74a36da
15719b0ca2
hex486861e0

1214800352 has 48 divisors (see below), whose sum is σ = 2448677952. Its totient is φ = 592980480.

The previous prime is 1214800337. The next prime is 1214800387. The reversal of 1214800352 is 2530084121.

It is a super-3 number, since 3×12148003523 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 812918 + ... + 814410.

It is an arithmetic number, because the mean of its divisors is an integer number (51014124).

Almost surely, 21214800352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214800352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224338976).

1214800352 is an abundant number, since it is smaller than the sum of its proper divisors (1233877600).

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

1214800352 is a wasteful number, since it uses less digits than its factorization.

1214800352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 1214800352 is about 34853.9861708815. The cubic root of 1214800352 is about 1067.0095415088.

Adding to 1214800352 its reverse (2530084121), we get a palindrome (3744884473).

The spelling of 1214800352 in words is "one billion, two hundred fourteen million, eight hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 541 752 1082 1493 1504 2164 2986 4328 5972 8656 11944 17312 23888 25427 47776 50854 70171 101708 140342 203416 280684 406832 561368 807713 813664 1122736 1615426 2245472 3230852 6461704 12923408 25846816 37962511 75925022 151850044 303700088 607400176 1214800352