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2148332340 = 2235711465007
BaseRepresentation
bin1000000000001100…
…1111001100110100
312112201110120221110
42000003033030310
513344433113330
6553102115020
7104144344410
oct20003171464
95481416843
102148332340
11a0274a980
124bb57ba70
1328311118b
1416546bd40
15c8912db0
hex800cf334

2148332340 has 96 divisors (see below), whose sum is σ = 7499649024. Its totient is φ = 446405760.

The previous prime is 2148332321. The next prime is 2148332341. The reversal of 2148332340 is 432338412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2148332298 and 2148332307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148332341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227884 + ... + 237123.

It is an arithmetic number, because the mean of its divisors is an integer number (78121344).

Almost surely, 22148332340 is an apocalyptic number.

2148332340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2148332340 is an abundant number, since it is smaller than the sum of its proper divisors (5351316684).

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

2148332340 is a wasteful number, since it uses less digits than its factorization.

2148332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465037 (or 465035 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2148332340 is about 46350.1061487458. The cubic root of 2148332340 is about 1290.3290909681.

The spelling of 2148332340 in words is "two billion, one hundred forty-eight million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 465007 930014 1395021 1860028 2325035 2790042 3255049 4650070 5115077 5580084 6510098 6975105 9300140 9765147 10230154 13020196 13950210 15345231 16275245 19530294 20460308 25575385 27900420 30690462 32550490 35805539 39060588 48825735 51150770 61380924 65100980 71611078 76726155 97651470 102301540 107416617 143222156 153452310 179027695 195302940 214833234 306904620 358055390 429666468 537083085 716110780 1074166170 2148332340