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2214354252 = 2231159331859
BaseRepresentation
bin1000001111111100…
…0101110101001100
312201022200211222110
42003333011311030
514013333314002
61003421144020
7105605462205
oct20377056514
95638624873
102214354252
11a36a44140
125196bb010
132939b90b6
141701365ac
15ce604e6c
hex83fc5d4c

2214354252 has 96 divisors (see below), whose sum is σ = 5756083200. Its totient is φ = 656884800.

The previous prime is 2214354223. The next prime is 2214354253. The reversal of 2214354252 is 2524534122.

It is not an unprimeable number, because it can be changed into a prime (2214354253) 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 31 ways as a sum of consecutive naturals, for example, 2577399 + ... + 2578257.

It is an arithmetic number, because the mean of its divisors is an integer number (59959200).

Almost surely, 22214354252 is an apocalyptic number.

2214354252 is a gapful number since it is divisible by the number (22) 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 2214354252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878041600).

2214354252 is an abundant number, since it is smaller than the sum of its proper divisors (3541728948).

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

2214354252 is a wasteful number, since it uses less digits than its factorization.

2214354252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1265 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 2214354252 is about 47056.9256539354. The cubic root of 2214354252 is about 1303.4139560819.

Adding to 2214354252 its reverse (2524534122), we get a palindrome (4738888374).

The spelling of 2214354252 in words is "two billion, two hundred fourteen million, three hundred fifty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 331 354 649 662 708 859 993 1298 1324 1718 1947 1986 2577 2596 3436 3641 3894 3972 5154 7282 7788 9449 10308 10923 14564 18898 19529 21846 28347 37796 39058 43692 50681 56694 58587 78116 101362 113388 117174 152043 202724 214819 234348 284329 304086 429638 557491 568658 608172 644457 852987 859276 1114982 1137316 1288914 1672473 1705974 2229964 2577828 3127619 3344946 3411948 6255238 6689892 9382857 12510476 16775411 18765714 33550822 37531428 50326233 67101644 100652466 184529521 201304932 369059042 553588563 738118084 1107177126 2214354252