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2138022240 = 25354454213
BaseRepresentation
bin111111101101111…
…1010000101100000
312112000001210010220
41333123322011200
513334313202430
6552053123040
7103660613664
oct17733720540
95460053126
102138022240
119a7948832
124b8029480
13280c41423
14163d468a4
15c7a78110
hex7f6fa160

2138022240 has 48 divisors (see below), whose sum is σ = 6734771568. Its totient is φ = 570139136.

The previous prime is 2138022239. The next prime is 2138022241. The reversal of 2138022240 is 422208312.

It is an interprime number because it is at equal distance from previous prime (2138022239) and next prime (2138022241).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21380222402 = 9142278197469235200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2138022240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138022241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2226627 + ... + 2227586.

It is an arithmetic number, because the mean of its divisors is an integer number (140307741).

Almost surely, 22138022240 is an apocalyptic number.

2138022240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138022240 is an abundant number, since it is smaller than the sum of its proper divisors (4596749328).

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

2138022240 is a wasteful number, since it uses less digits than its factorization.

2138022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454231 (or 4454223 counting only the distinct ones).

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

The square root of 2138022240 is about 46238.7525783298. The cubic root of 2138022240 is about 1288.2616329995.

The spelling of 2138022240 in words is "two billion, one hundred thirty-eight million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4454213 8908426 13362639 17816852 22271065 26725278 35633704 44542130 53450556 66813195 71267408 89084260 106901112 133626390 142534816 178168520 213802224 267252780 356337040 427604448 534505560 712674080 1069011120 2138022240