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2248480380 = 2235371012829
BaseRepresentation
bin1000011000000101…
…0001011001111100
312210200220122020010
42012001101121330
514101102333010
61011040423220
7106501524246
oct20601213174
95720818203
102248480380
11a54232653
12529017b10
1329aaa7183
1417489b096
15d25e6620
hex8605167c

2248480380 has 48 divisors (see below), whose sum is σ = 6465906720. Its totient is φ = 583388928.

The previous prime is 2248480379. The next prime is 2248480411. The reversal of 2248480380 is 830848422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504195 + ... + 508634.

It is an arithmetic number, because the mean of its divisors is an integer number (134706390).

Almost surely, 22248480380 is an apocalyptic number.

2248480380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248480380 is an abundant number, since it is smaller than the sum of its proper divisors (4217426340).

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

2248480380 is a wasteful number, since it uses less digits than its factorization.

2248480380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012878 (or 1012876 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 2248480380 is about 47418.1439957323. The cubic root of 2248480380 is about 1310.0756283669.

The spelling of 2248480380 in words is "two billion, two hundred forty-eight million, four hundred eighty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 1012829 2025658 3038487 4051316 5064145 6076974 10128290 12153948 15192435 20256580 30384870 37474673 60769740 74949346 112424019 149898692 187373365 224848038 374746730 449696076 562120095 749493460 1124240190 2248480380