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2248348140 = 2232512490823
BaseRepresentation
bin1000011000000011…
…0001000111101100
312210200122220211100
42012000301013230
514101034120030
61011033523100
7106500433563
oct20600610754
95720586740
102248348140
11a54152265
12528b73490
1329aa5bc1c
14174864bda
15d25bc360
hex860311ec

2248348140 has 36 divisors (see below), whose sum is σ = 6819989904. Its totient is φ = 599559456.

The previous prime is 2248348127. The next prime is 2248348189. The reversal of 2248348140 is 418438422.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2248348095 and 2248348104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6245232 + ... + 6245591.

It is an arithmetic number, because the mean of its divisors is an integer number (189444164).

Almost surely, 22248348140 is an apocalyptic number.

2248348140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248348140 is an abundant number, since it is smaller than the sum of its proper divisors (4571641764).

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

2248348140 is a wasteful number, since it uses less digits than its factorization.

2248348140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12490838 (or 12490833 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2248348140 is about 47416.7495722767. The cubic root of 2248348140 is about 1310.0499446801.

The spelling of 2248348140 in words is "two billion, two hundred forty-eight million, three hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12490823 24981646 37472469 49963292 62454115 74944938 112417407 124908230 149889876 187362345 224834814 249816460 374724690 449669628 562087035 749449380 1124174070 2248348140