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2125225212 = 22311293117909
BaseRepresentation
bin111111010101100…
…0101110011111100
312111002222121220220
41332223011303330
513323024201322
6550514541340
7103444054605
oct17653056374
95432877826
102125225212
119a06a8180
124b3897850
1327b3b0716
14162374dac
15c689b55c
hex7eac5cfc

2125225212 has 96 divisors (see below), whose sum is σ = 5777049600. Its totient is φ = 601708800.

The previous prime is 2125225171. The next prime is 2125225237.

2125225212 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109714 + ... + 127622.

It is an arithmetic number, because the mean of its divisors is an integer number (60177600).

Almost surely, 22125225212 is an apocalyptic number.

2125225212 is a gapful number since it is divisible by the number (22) 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 2125225212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888524800).

2125225212 is an abundant number, since it is smaller than the sum of its proper divisors (3651824388).

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

2125225212 is a wasteful number, since it uses less digits than its factorization.

2125225212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17987 (or 17985 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 2125225212 is about 46100.1649888588. The cubic root of 2125225212 is about 1285.6862120360.

It can be divided in two parts, 21252 and 25212, that added together give a palindrome (46464).

The spelling of 2125225212 in words is "two billion, one hundred twenty-five million, two hundred twenty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 31 33 44 58 62 66 87 93 116 124 132 174 186 319 341 348 372 638 682 899 957 1023 1276 1364 1798 1914 2046 2697 3596 3828 4092 5394 9889 10788 17909 19778 29667 35818 39556 53727 59334 71636 107454 118668 196999 214908 393998 519361 555179 590997 787996 1038722 1110358 1181994 1558083 1665537 2077444 2220716 2363988 3116166 3331074 5712971 6106969 6232332 6662148 11425942 12213938 16100191 17138913 18320907 22851884 24427876 32200382 34277826 36641814 48300573 64400764 68555652 73283628 96601146 177102101 193202292 354204202 531306303 708408404 1062612606 2125225212