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2214050752 = 263110211093
BaseRepresentation
bin1000001111110111…
…1011101111000000
312201022010102122201
42003331323233000
514013244111002
61003410442544
7105603056314
oct20375735700
95638112581
102214050752
11a36857111
12519593454
13293910c04
14170097b44
15ce595087
hex83f7bbc0

2214050752 has 56 divisors (see below), whose sum is σ = 4543828352. Its totient is φ = 1069286400.

The previous prime is 2214050747. The next prime is 2214050767. The reversal of 2214050752 is 2570504122.

It is a self number, because there is not a number n which added to its sum of digits gives 2214050752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2025118 + ... + 2026210.

It is an arithmetic number, because the mean of its divisors is an integer number (81139792).

Almost surely, 22214050752 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 2214050752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271914176).

2214050752 is an abundant number, since it is smaller than the sum of its proper divisors (2329777600).

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

2214050752 is a wasteful number, since it uses less digits than its factorization.

2214050752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 2214050752 is about 47053.7007258728. The cubic root of 2214050752 is about 1303.3544046032.

Adding to 2214050752 its reverse (2570504122), we get a palindrome (4784554874).

The spelling of 2214050752 in words is "two billion, two hundred fourteen million, fifty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1021 1093 1984 2042 2186 4084 4372 8168 8744 16336 17488 31651 32672 33883 34976 63302 65344 67766 69952 126604 135532 253208 271064 506416 542128 1012832 1084256 1115953 2025664 2168512 2231906 4463812 8927624 17855248 34594543 35710496 69189086 71420992 138378172 276756344 553512688 1107025376 2214050752