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25422007440 = 2435521203311
BaseRepresentation
bin10111101011010001…
…010000110010010000
32102121200222210012010
4113223101100302100
5404031013214230
615402333502520
71556660332524
oct275321206220
972550883163
1025422007440
11a866073505
124b15941a40
132521ab1b6b
141332439d84
159dbc819b0
hex5eb450c90

25422007440 has 80 divisors (see below), whose sum is σ = 78959874816. Its totient is φ = 6766156800.

The previous prime is 25422007439. The next prime is 25422007441. The reversal of 25422007440 is 4470022452.

It is an interprime number because it is at equal distance from previous prime (25422007439) and next prime (25422007441).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25422007398 and 25422007407.

It is not an unprimeable number, because it can be changed into a prime (25422007441) 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, 23385 + ... + 226695.

Almost surely, 225422007440 is an apocalyptic number.

25422007440 is a gapful number since it is divisible by the number (20) 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 25422007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39479937408).

25422007440 is an abundant number, since it is smaller than the sum of its proper divisors (53537867376).

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

25422007440 is a wasteful number, since it uses less digits than its factorization.

25422007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203848 (or 203842 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

Adding to 25422007440 its reverse (4470022452), we get a palindrome (29892029892).

The spelling of 25422007440 in words is "twenty-five billion, four hundred twenty-two million, seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 521 1042 1563 2084 2605 3126 4168 5210 6252 7815 8336 10420 12504 15630 20840 25008 31260 41680 62520 125040 203311 406622 609933 813244 1016555 1219866 1626488 2033110 2439732 3049665 3252976 4066220 4879464 6099330 8132440 9758928 12198660 16264880 24397320 48794640 105925031 211850062 317775093 423700124 529625155 635550186 847400248 1059250310 1271100372 1588875465 1694800496 2118500620 2542200744 3177750930 4237001240 5084401488 6355501860 8474002480 12711003720 25422007440