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2148741820 = 2254315491613
BaseRepresentation
bin1000000000010011…
…0011001010111100
312112202020101122101
42000010303022330
513400034214240
6553114554444
7104151001261
oct20004631274
95482211571
102148741820
11a029aa595
124bb738a24
13283225684
14165537268
15c899439a
hex801332bc

2148741820 has 48 divisors (see below), whose sum is σ = 4623141600. Its totient is φ = 838446336.

The previous prime is 2148741797. The next prime is 2148741851. The reversal of 2148741820 is 281478412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2148741820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1331334 + ... + 1332946.

It is an arithmetic number, because the mean of its divisors is an integer number (96315450).

Almost surely, 22148741820 is an apocalyptic number.

2148741820 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 2148741820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311570800).

2148741820 is an abundant number, since it is smaller than the sum of its proper divisors (2474399780).

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

2148741820 is a wasteful number, since it uses less digits than its factorization.

2148741820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 2148741820 is about 46354.5231881421. The cubic root of 2148741820 is about 1290.4110662411.

The spelling of 2148741820 in words is "two billion, one hundred forty-eight million, seven hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1549 1613 3098 3226 6196 6452 7745 8065 15490 16130 30980 32260 66607 69359 133214 138718 266428 277436 333035 346795 666070 693590 1332140 1387180 2498537 4997074 9994148 12492685 24985370 49970740 107437091 214874182 429748364 537185455 1074370910 2148741820