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2052235104 = 253172235639
BaseRepresentation
bin111101001010010…
…1001111101100000
312022000122100022120
41322110221331200
513200333010404
6535350304240
7101566465503
oct17224517540
95260570276
102052235104
11963484677
12493358080
13269235bca
141567b513a
15c027e9d9
hex7a529f60

2052235104 has 96 divisors (see below), whose sum is σ = 5730600960. Its totient is φ = 640837632.

The previous prime is 2052235103. The next prime is 2052235117. The reversal of 2052235104 is 4015322502.

It is a tau number, because it is divible by the number of its divisors (96).

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 (2052235103) 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, 361117 + ... + 366755.

It is an arithmetic number, because the mean of its divisors is an integer number (59693760).

Almost surely, 22052235104 is an apocalyptic number.

2052235104 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 2052235104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865300480).

2052235104 is an abundant number, since it is smaller than the sum of its proper divisors (3678365856).

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

2052235104 is a wasteful number, since it uses less digits than its factorization.

2052235104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2052235104 is about 45301.6015610927. The cubic root of 2052235104 is about 1270.7956045668.

Adding to 2052235104 its reverse (4015322502), we get a palindrome (6067557606).

The spelling of 2052235104 in words is "two billion, fifty-two million, two hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 223 272 408 446 544 669 816 892 1338 1632 1784 2676 3568 3791 5352 5639 7136 7582 10704 11278 11373 15164 16917 21408 22556 22746 30328 33834 45112 45492 60656 67668 90224 90984 95863 121312 135336 180448 181968 191726 270672 287589 363936 383452 541344 575178 766904 1150356 1257497 1533808 2300712 2514994 3067616 3772491 4601424 5029988 7544982 9202848 10059976 15089964 20119952 21377449 30179928 40239904 42754898 60359856 64132347 85509796 120719712 128264694 171019592 256529388 342039184 513058776 684078368 1026117552 2052235104