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2214123444 = 2233135926729
BaseRepresentation
bin1000001111111000…
…1101011110110100
312201022021010101000
42003332031132310
514013303422234
61003412203300
7105603511251
oct20376153664
95638233330
102214123444
11a368a6795
12519609530
13293938020
141700b6428
15ce5ab899
hex83f8d7b4

2214123444 has 96 divisors (see below), whose sum is σ = 6286896000. Its totient is φ = 669696768.

The previous prime is 2214123437. The next prime is 2214123463. The reversal of 2214123444 is 4443214122.

2214123444 is a `hidden beast` number, since 2 + 214 + 1 + 2 + 3 + 444 = 666.

It is a super-2 number, since 2×22141234442 = 9804685250540842272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 69472 + ... + 96200.

It is an arithmetic number, because the mean of its divisors is an integer number (65488500).

Almost surely, 22214123444 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 2214123444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143448000).

2214123444 is an abundant number, since it is smaller than the sum of its proper divisors (4072772556).

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

2214123444 is a wasteful number, since it uses less digits than its factorization.

2214123444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26814 (or 26806 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2214123444 is about 47054.4731561198. The cubic root of 2214123444 is about 1303.3686684138.

Adding to 2214123444 its reverse (4443214122), we get a palindrome (6657337566).

The spelling of 2214123444 in words is "two billion, two hundred fourteen million, one hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 108 117 118 156 177 234 236 351 354 468 531 702 708 767 1062 1404 1534 1593 2124 2301 3068 3186 4602 6372 6903 9204 13806 20709 26729 27612 41418 53458 80187 82836 106916 160374 240561 320748 347477 481122 694954 721683 962244 1042431 1389908 1443366 1577011 2084862 2886732 3127293 3154022 4169724 4731033 6254586 6308044 9381879 9462066 12509172 14193099 18763758 18924132 20501143 28386198 37527516 41002286 42579297 56772396 61503429 82004572 85158594 123006858 170317188 184510287 246013716 369020574 553530861 738041148 1107061722 2214123444