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2037225138 = 2313234127697
BaseRepresentation
bin111100101101101…
…1001011010110010
312020222101202111220
41321123121122302
513133012201023
6534052445510
7101325061614
oct17133313262
95228352456
102037225138
11955a62443
1248a319896
132660abb80
141547c8db4
15bdcb73e3
hex796d96b2

2037225138 has 64 divisors (see below), whose sum is σ = 4690490112. Its totient is φ = 584939520.

The previous prime is 2037225131. The next prime is 2037225139. The reversal of 2037225138 is 8315227302.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2037225099 and 2037225108.

It is not an unprimeable number, because it can be changed into a prime (2037225131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59706 + ... + 87402.

It is an arithmetic number, because the mean of its divisors is an integer number (73288908).

Almost surely, 22037225138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2037225138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345245056).

2037225138 is an abundant number, since it is smaller than the sum of its proper divisors (2653264974).

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

2037225138 is a wasteful number, since it uses less digits than its factorization.

2037225138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27779.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 2037225138 is about 45135.6304708376. The cubic root of 2037225138 is about 1267.6898375449.

The spelling of 2037225138 in words is "two billion, thirty-seven million, two hundred twenty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 13 23 26 39 41 46 69 78 82 123 138 246 299 533 598 897 943 1066 1599 1794 1886 2829 3198 5658 12259 24518 27697 36777 55394 73554 83091 166182 360061 637031 720122 1080183 1135577 1274062 1911093 2160366 2271154 3406731 3822186 6813462 8281403 14762501 16562806 24844209 26118271 29525002 44287503 49688418 52236542 78354813 88575006 156709626 339537523 679075046 1018612569 2037225138