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2148458820 = 2235199719429
BaseRepresentation
bin1000000000001110…
…1110000101000100
312112201201000102220
42000003232011010
513400001140240
6553104532340
7104145412224
oct20003560504
95481630386
102148458820
11a02826a02
124bb6210b0
13283156911
141654a2084
15c893a5d0
hex800ee144

2148458820 has 96 divisors (see below), whose sum is σ = 6397910400. Its totient is φ = 537145344.

The previous prime is 2148458803. The next prime is 2148458833. The reversal of 2148458820 is 288548412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100866 + ... + 120294.

It is an arithmetic number, because the mean of its divisors is an integer number (66644900).

Almost surely, 22148458820 is an apocalyptic number.

2148458820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148458820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198955200).

2148458820 is an abundant number, since it is smaller than the sum of its proper divisors (4249451580).

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

2148458820 is a wasteful number, since it uses less digits than its factorization.

2148458820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19557 (or 19555 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The square root of 2148458820 is about 46351.4705268344. The cubic root of 2148458820 is about 1290.3544125656.

The spelling of 2148458820 in words is "two billion, one hundred forty-eight million, four hundred fifty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 97 114 190 194 228 285 291 380 388 485 570 582 970 1140 1164 1455 1843 1940 2910 3686 5529 5820 7372 9215 11058 18430 19429 22116 27645 36860 38858 55290 58287 77716 97145 110580 116574 194290 233148 291435 369151 388580 582870 738302 1107453 1165740 1476604 1845755 1884613 2214906 3691510 3769226 4429812 5537265 5653839 7383020 7538452 9423065 11074530 11307678 18846130 22149060 22615356 28269195 35807647 37692260 56538390 71615294 107422941 113076780 143230588 179038235 214845882 358076470 429691764 537114705 716152940 1074229410 2148458820