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1057210224 = 24373146459
BaseRepresentation
bin111111000000111…
…011111101110000
32201200022211210020
4333000323331300
54131121211344
6252523403440
735125065360
oct7700737560
92650284706
101057210224
114a2849764
12256083580
1313b04b3a5
14a05a09a0
1562c32719
hex3f03bf70

1057210224 has 40 divisors (see below), whose sum is σ = 3121288320. Its totient is φ = 302059968.

The previous prime is 1057210207. The next prime is 1057210241. The reversal of 1057210224 is 4220127501.

It is an interprime number because it is at equal distance from previous prime (1057210207) and next prime (1057210241).

It is a super-2 number, since 2×10572102242 = 2235386915460260352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1057210194 and 1057210203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1572894 + ... + 1573565.

It is an arithmetic number, because the mean of its divisors is an integer number (78032208).

Almost surely, 21057210224 is an apocalyptic number.

1057210224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1057210224 is an abundant number, since it is smaller than the sum of its proper divisors (2064078096).

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

1057210224 is a wasteful number, since it uses less digits than its factorization.

1057210224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146477 (or 3146471 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 1057210224 is about 32514.7693210332. The cubic root of 1057210224 is about 1018.7175423987.

Adding to 1057210224 its reverse (4220127501), we get a palindrome (5277337725).

The spelling of 1057210224 in words is "one billion, fifty-seven million, two hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3146459 6292918 9439377 12585836 18878754 22025213 25171672 37757508 44050426 50343344 66075639 75515016 88100852 132151278 151030032 176201704 264302556 352403408 528605112 1057210224