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2252730144 = 25373352277
BaseRepresentation
bin1000011001000101…
…1110111100100000
312210222220112210210
42012101132330200
514103144331034
61011311454120
7106552614240
oct20621367440
95728815723
102252730144
11a56675555
1252a527340
1329b934622
14175285b20
15d2b858e9
hex8645ef20

2252730144 has 48 divisors (see below), whose sum is σ = 6758192448. Its totient is φ = 643636992.

The previous prime is 2252730133. The next prime is 2252730149. The reversal of 2252730144 is 4410372522.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2252730149) 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, 1675467 + ... + 1676810.

It is an arithmetic number, because the mean of its divisors is an integer number (140795676).

Almost surely, 22252730144 is an apocalyptic number.

2252730144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2252730144 is an abundant number, since it is smaller than the sum of its proper divisors (4505462304).

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

2252730144 is a wasteful number, since it uses less digits than its factorization.

2252730144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352297 (or 3352289 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2252730144 is about 47462.9344225576. The cubic root of 2252730144 is about 1310.9004829851.

The spelling of 2252730144 in words is "two billion, two hundred fifty-two million, seven hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3352277 6704554 10056831 13409108 20113662 23465939 26818216 40227324 46931878 53636432 70397817 80454648 93863756 107272864 140795634 160909296 187727512 281591268 321818592 375455024 563182536 750910048 1126365072 2252730144