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2142334410 = 23537252163
BaseRepresentation
bin111111110110001…
…0110110111001010
312112022011212022220
41333230112313022
513341414200120
6552325354510
7104042353626
oct17754266712
95468155286
102142334410
119aa323607
124b9568a36
13281ac10c8
1416474a186
15c812ab40
hex7fb16dca

2142334410 has 48 divisors (see below), whose sum is σ = 5284421856. Its totient is φ = 555838272.

The previous prime is 2142334399. The next prime is 2142334423. The reversal of 2142334410 is 144332412.

It is a Curzon number.

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, 14989 + ... + 67151.

It is an arithmetic number, because the mean of its divisors is an integer number (110092122).

Almost surely, 22142334410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142334410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642210928).

2142334410 is an abundant number, since it is smaller than the sum of its proper divisors (3142087446).

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

2142334410 is a wasteful number, since it uses less digits than its factorization.

2142334410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52247 (or 52210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2142334410 is about 46285.3584840822. The cubic root of 2142334410 is about 1289.1271482538.

Adding to 2142334410 its reverse (144332412), we get a palindrome (2286666822).

The spelling of 2142334410 in words is "two billion, one hundred forty-two million, three hundred thirty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1369 2738 4107 6845 8214 13690 20535 41070 52163 104326 156489 260815 312978 521630 782445 1564890 1930031 3860062 5790093 9650155 11580186 19300310 28950465 57900930 71411147 142822294 214233441 357055735 428466882 714111470 1071167205 2142334410