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2214121120 = 25547294431
BaseRepresentation
bin1000001111111000…
…1100111010100000
312201022021000011221
42003332030322200
514013303333440
61003412144424
7105603501421
oct20376147240
95638230157
102214121120
11a368a4a72
12519608114
13293936c53
141700b5648
15ce5aad4a
hex83f8cea0

2214121120 has 48 divisors (see below), whose sum is σ = 5342174208. Its totient is φ = 866801920.

The previous prime is 2214121111. The next prime is 2214121121. The reversal of 2214121120 is 211214122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2214121094 and 2214121103.

It is not an unprimeable number, because it can be changed into a prime (2214121121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139696 + ... + 154735.

It is an arithmetic number, because the mean of its divisors is an integer number (111295296).

Almost surely, 22214121120 is an apocalyptic number.

2214121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214121120 is an abundant number, since it is smaller than the sum of its proper divisors (3128053088).

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

2214121120 is a wasteful number, since it uses less digits than its factorization.

2214121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294493 (or 294485 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2214121120 is about 47054.4484613304. The cubic root of 2214121120 is about 1303.3682123974.

Adding to 2214121120 its reverse (211214122), we get a palindrome (2425335242).

The spelling of 2214121120 in words is "two billion, two hundred fourteen million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 7520 294431 588862 1177724 1472155 2355448 2944310 4710896 5888620 9421792 11777240 13838257 23554480 27676514 47108960 55353028 69191285 110706056 138382570 221412112 276765140 442824224 553530280 1107060560 2214121120