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10224515424 = 253106505369
BaseRepresentation
bin10011000010110110…
…11011100101100000
3222101120020012101110
421201123123211200
5131414433443144
64410322503320
7511241642604
oct114133334540
928346205343
1010224515424
114377521852
121b94204b40
13c6c379236
146cdcc7504
153ec95b0b9
hex2616db960

10224515424 has 24 divisors (see below), whose sum is σ = 26839353240. Its totient is φ = 3408171776.

The previous prime is 10224515423. The next prime is 10224515453. The reversal of 10224515424 is 42451542201.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×102245154242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10224515391 and 10224515400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224515423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53252589 + ... + 53252780.

It is an arithmetic number, because the mean of its divisors is an integer number (1118306385).

Almost surely, 210224515424 is an apocalyptic number.

It is an amenable number.

10224515424 is an abundant number, since it is smaller than the sum of its proper divisors (16614837816).

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

10224515424 is a wasteful number, since it uses less digits than its factorization.

10224515424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106505382 (or 106505374 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 10224515424 in words is "ten billion, two hundred twenty-four million, five hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 106505369 213010738 319516107 426021476 639032214 852042952 1278064428 1704085904 2556128856 3408171808 5112257712 10224515424