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2249653056 = 26371673849
BaseRepresentation
bin1000011000010110…
…1111101101000000
312210210010012211120
42012011233231000
514101402344211
61011121512240
7106514510160
oct20605575500
95723105746
102249653056
11a54963702
125294a2680
1329b0c7b71
14174ac45a0
15d2778d06
hex8616fb40

2249653056 has 56 divisors (see below), whose sum is σ = 6802526400. Its totient is φ = 642757632.

The previous prime is 2249653051. The next prime is 2249653103. The reversal of 2249653056 is 6503569422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2249652999 and 2249653017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249653051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835581 + ... + 838268.

Almost surely, 22249653056 is an apocalyptic number.

It is an amenable number.

2249653056 is an abundant number, since it is smaller than the sum of its proper divisors (4552873344).

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

2249653056 is a wasteful number, since it uses less digits than its factorization.

2249653056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673871 (or 1673861 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 2249653056 is about 47430.5076506672. The cubic root of 2249653056 is about 1310.3033417533.

The spelling of 2249653056 in words is "two billion, two hundred forty-nine million, six hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1673849 3347698 5021547 6695396 10043094 11716943 13390792 20086188 23433886 26781584 35150829 40172376 46867772 53563168 70301658 80344752 93735544 107126336 140603316 160689504 187471088 281206632 321379008 374942176 562413264 749884352 1124826528 2249653056