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10325308224 = 2637211175869
BaseRepresentation
bin10011001110110111…
…11011001101000000
3222122120220000010010
421213123323031000
5132121234330344
64424323104520
7513604446300
oct114733731500
928576800103
1010325308224
114419404990
122001b12140
13c8720984a
146dd443600
1540671a8b9
hex2676fb340

10325308224 has 336 divisors, whose sum is σ = 36713891520. Its totient is φ = 2523709440.

The previous prime is 10325308183. The next prime is 10325308243. The reversal of 10325308224 is 42280352301.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×103253082242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10325308191 and 10325308200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1756362 + ... + 1762230.

Almost surely, 210325308224 is an apocalyptic number.

10325308224 is a gapful number since it is divisible by the number (14) 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 10325308224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18356945760).

10325308224 is an abundant number, since it is smaller than the sum of its proper divisors (26388583296).

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

10325308224 is a wasteful number, since it uses less digits than its factorization.

10325308224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 10325308224 in words is "ten billion, three hundred twenty-five million, three hundred eight thousand, two hundred twenty-four".