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2125222344 = 2332712013511
BaseRepresentation
bin111111010101100…
…0101000111001000
312111002222110222200
41332223011013020
513323024103334
6550514520200
7103444043340
oct17653050710
95432873880
102125222344
119a06a6003
124b3896060
1327b3ac31b
14162373d20
15c689a799
hex7eac51c8

2125222344 has 96 divisors (see below), whose sum is σ = 6585421440. Its totient is φ = 606528000.

The previous prime is 2125222321. The next prime is 2125222439. The reversal of 2125222344 is 4432225212.

2125222344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21252223442 = 9033140022873708672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603549 + ... + 607059.

It is an arithmetic number, because the mean of its divisors is an integer number (68598140).

Almost surely, 22125222344 is an apocalyptic number.

2125222344 is a gapful number since it is divisible by the number (24) 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 2125222344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292710720).

2125222344 is an abundant number, since it is smaller than the sum of its proper divisors (4460199096).

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

2125222344 is a wasteful number, since it uses less digits than its factorization.

2125222344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4724 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 2125222344 is about 46100.1338826689. The cubic root of 2125222344 is about 1285.6856336895.

Adding to 2125222344 its reverse (4432225212), we get a palindrome (6557447556).

The spelling of 2125222344 in words is "two billion, one hundred twenty-five million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1201 2402 3511 3603 4804 7022 7206 8407 9608 10533 10809 14044 14412 16814 21066 21618 24577 25221 28088 28824 31599 33628 42132 43236 49154 50442 63198 67256 73731 75663 84264 86472 98308 100884 126396 147462 151326 196616 201768 221193 252792 294924 302652 442386 589848 605304 884772 1769544 4216711 8433422 12650133 16866844 25300266 29516977 33733688 37950399 50600532 59033954 75900798 88550931 101201064 118067908 151801596 177101862 236135816 265652793 303603192 354203724 531305586 708407448 1062611172 2125222344