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2214400344 = 233139197723
BaseRepresentation
bin1000001111111101…
…0001000101011000
312201022210012012120
42003333101011120
514013341302334
61003422141240
7105606043452
oct20377210530
95638705176
102214400344
11a36a75832
12519721820
13293a04080
141701492d2
15ce613949
hex83fd1158

2214400344 has 64 divisors (see below), whose sum is σ = 5969107200. Its totient is φ = 680524416.

The previous prime is 2214400343. The next prime is 2214400373. The reversal of 2214400344 is 4430044122.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214400343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282867 + ... + 290589.

It is an arithmetic number, because the mean of its divisors is an integer number (93267300).

Almost surely, 22214400344 is an apocalyptic number.

2214400344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2214400344 is an abundant number, since it is smaller than the sum of its proper divisors (3754706856).

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

2214400344 is a wasteful number, since it uses less digits than its factorization.

2214400344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8664 (or 8660 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2214400344 is about 47057.4153986383. The cubic root of 2214400344 is about 1303.4229995821.

Adding to 2214400344 its reverse (4430044122), we get a palindrome (6644444466).

The spelling of 2214400344 in words is "two billion, two hundred fourteen million, four hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 919 1838 2757 3676 5514 7352 7723 11028 11947 15446 22056 23169 23894 30892 35841 46338 47788 61784 71682 92676 95576 100399 143364 185352 200798 286728 301197 401596 602394 803192 1204788 2409576 7097437 14194874 21292311 28389748 42584622 56779496 85169244 92266681 170338488 184533362 276800043 369066724 553600086 738133448 1107200172 2214400344