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2214434112 = 263112345587
BaseRepresentation
bin1000001111111101…
…1001010101000000
312201022211220112020
42003333121111000
514013343342422
61003423001440
7105606244062
oct20377312500
95638756466
102214434112
11a36a99140
12519739280
13293a16557
14170157732
15ce61d95c
hex83fd9540

2214434112 has 112 divisors (see below), whose sum is σ = 6669706752. Its totient is φ = 641850880.

The previous prime is 2214434099. The next prime is 2214434141. The reversal of 2214434112 is 2114344122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25783 + ... + 71369.

Almost surely, 22214434112 is an apocalyptic number.

2214434112 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 2214434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334853376).

2214434112 is an abundant number, since it is smaller than the sum of its proper divisors (4455272640).

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

2214434112 is a wasteful number, since it uses less digits than its factorization.

2214434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45636 (or 45626 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2214434112 is about 47057.7741930066. The cubic root of 2214434112 is about 1303.4296249670.

Adding to 2214434112 its reverse (2114344122), we get a palindrome (4328778234).

The spelling of 2214434112 in words is "two billion, two hundred fourteen million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 4048 4416 6072 8096 12144 16192 24288 45587 48576 91174 136761 182348 273522 364696 501457 547044 729392 1002914 1048501 1094088 1458784 1504371 2005828 2097002 2188176 2917568 3008742 3145503 4011656 4194004 4376352 6017484 6291006 8023312 8388008 8752704 11533511 12034968 12582012 16046624 16776016 23067022 24069936 25164024 32093248 33552032 34600533 46134044 48139872 50328048 67104064 69201066 92268088 96279744 100656096 138402132 184536176 201312192 276804264 369072352 553608528 738144704 1107217056 2214434112