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2148354420 = 2235179200033
BaseRepresentation
bin1000000000001101…
…0100100101110100
312112201111201020020
42000003110211310
513344434320140
6553102405140
7104144465652
oct20003244564
95481451206
102148354420
11a02765523
124bb5907b0
1328311b244
14165475dd2
15c89196d0
hex800d4974

2148354420 has 48 divisors (see below), whose sum is σ = 6049028160. Its totient is φ = 569691136.

The previous prime is 2148354419. The next prime is 2148354427. The reversal of 2148354420 is 244538412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148354427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89277 + ... + 110756.

It is an arithmetic number, because the mean of its divisors is an integer number (126021420).

Almost surely, 22148354420 is an apocalyptic number.

2148354420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2148354420 is an abundant number, since it is smaller than the sum of its proper divisors (3900673740).

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

2148354420 is a wasteful number, since it uses less digits than its factorization.

2148354420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200224 (or 200222 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2148354420 is about 46350.3443352905. The cubic root of 2148354420 is about 1290.3335115083. Note that the first 3 decimals are identical.

The spelling of 2148354420 in words is "two billion, one hundred forty-eight million, three hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 179 358 537 716 895 1074 1790 2148 2685 3580 5370 10740 200033 400066 600099 800132 1000165 1200198 2000330 2400396 3000495 4000660 6000990 12001980 35805907 71611814 107417721 143223628 179029535 214835442 358059070 429670884 537088605 716118140 1074177210 2148354420