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2322661125 = 353173743229
BaseRepresentation
bin1000101001110000…
…1111111100000101
312222212111102002010
42022130033330011
514224100124000
61022250404433
7111362202531
oct21234177405
95885442063
102322661125
11a92099754
12549a30719
132b027a8c5
1418068abc1
15d8d9ad50
hex8a70ff05

2322661125 has 128 divisors (see below), whose sum is σ = 4319377920. Its totient is φ = 1103155200.

The previous prime is 2322661123. The next prime is 2322661129. The reversal of 2322661125 is 5211662232.

2322661125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2322661125 - 21 = 2322661123 is a prime.

It is a super-3 number, since 3×23226611253 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2322661092 and 2322661101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322661123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10142511 + ... + 10142739.

It is an arithmetic number, because the mean of its divisors is an integer number (33745140).

Almost surely, 22322661125 is an apocalyptic number.

2322661125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2322661125 is a deficient number, since it is larger than the sum of its proper divisors (1996716795).

2322661125 is a wasteful number, since it uses less digits than its factorization.

2322661125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 2322661125 is about 48193.9946985099. The cubic root of 2322661125 is about 1324.3271533371.

The spelling of 2322661125 in words is "two billion, three hundred twenty-two million, six hundred sixty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 15 17 25 37 43 51 75 85 111 125 129 185 215 229 255 375 425 555 629 645 687 731 925 1075 1145 1275 1591 1887 2125 2193 2775 3145 3225 3435 3655 3893 4625 4773 5375 5725 6375 7955 8473 9435 9847 10965 11679 13875 15725 16125 17175 18275 19465 23865 25419 27047 28625 29541 39775 42365 47175 49235 54825 58395 78625 81141 85875 91375 97325 119325 127095 135235 144041 147705 167399 198875 211825 235875 246175 274125 291975 364339 405705 432123 486625 502197 596625 635475 676175 720205 738525 836995 1059125 1093017 1230875 1459875 1821695 2028525 2160615 2510985 3177375 3380875 3601025 3692625 4184975 5465085 6193763 9108475 10142625 10803075 12554925 18005125 18581289 20924875 27325425 30968815 45542375 54015375 62774625 92906445 136627125 154844075 464532225 774220375 2322661125