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2148330144 = 25347476137
BaseRepresentation
bin1000000000001100…
…1110101010100000
312112201110110221010
42000003032222200
513344433031034
6553102100520
7104144335122
oct20003165240
95481413833
102148330144
11a02749264
124bb57a740
1328311018c
1416546b212
15c89123e9
hex800ceaa0

2148330144 has 48 divisors (see below), whose sum is σ = 5759365248. Its totient is φ = 700872192.

The previous prime is 2148330071. The next prime is 2148330199. The reversal of 2148330144 is 4410338412.

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

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, 233557 + ... + 242580.

It is an arithmetic number, because the mean of its divisors is an integer number (119986776).

Almost surely, 22148330144 is an apocalyptic number.

2148330144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2148330144 is an abundant number, since it is smaller than the sum of its proper divisors (3611035104).

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

2148330144 is a wasteful number, since it uses less digits than its factorization.

2148330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476197 (or 476189 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2148330144 is about 46350.0824594736. The cubic root of 2148330144 is about 1290.3286513149.

Adding to 2148330144 its reverse (4410338412), we get a palindrome (6558668556).

The spelling of 2148330144 in words is "two billion, one hundred forty-eight million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 476137 952274 1428411 1904548 2856822 3809096 5713644 7618192 11427288 15236384 22378439 22854576 44756878 45709152 67135317 89513756 134270634 179027512 268541268 358055024 537082536 716110048 1074165072 2148330144