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2353442025 = 352114121697
BaseRepresentation
bin1000110001000110…
…1010110011101001
320002000102020112110
42030101222303221
514304440121100
61025310232533
7112214633004
oct21421526351
96060366473
102353442025
11aa8502910
125581b5749
132b676715c
141847c053b
15db92b250
hex8c46ace9

2353442025 has 72 divisors (see below), whose sum is σ = 4353373152. Its totient is φ = 1112576000.

The previous prime is 2353441997. The next prime is 2353442027. The reversal of 2353442025 is 5202443532.

It is not a de Polignac number, because 2353442025 - 29 = 2353441513 is a prime.

It is a super-2 number, since 2×23534420252 = 11077378730072201250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2353441983 and 2353442001.

It is not an unprimeable number, because it can be changed into a prime (2353442027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1385977 + ... + 1387673.

It is an arithmetic number, because the mean of its divisors is an integer number (60463516).

Almost surely, 22353442025 is an apocalyptic number.

2353442025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2353442025 is a deficient number, since it is larger than the sum of its proper divisors (1999931127).

2353442025 is a wasteful number, since it uses less digits than its factorization.

2353442025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2353442025 is about 48512.2873610387. The cubic root of 2353442025 is about 1330.1516824385.

Adding to 2353442025 its reverse (5202443532), we get a palindrome (7555885557).

The spelling of 2353442025 in words is "two billion, three hundred fifty-three million, four hundred forty-two thousand, twenty-five".

Divisors: 1 3 5 11 15 25 33 41 55 75 123 165 205 275 451 615 825 1025 1353 1681 1697 2255 3075 5043 5091 6765 8405 8485 11275 18491 18667 25215 25455 33825 42025 42425 55473 56001 69577 92455 93335 126075 127275 208731 277365 280005 347885 462275 466675 765347 1043655 1386825 1400025 1739425 2296041 2852657 3826735 5218275 8557971 11480205 14263285 19133675 31379227 42789855 57401025 71316425 94137681 156896135 213949275 470688405 784480675 2353442025