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114211460 = 225112292267
BaseRepresentation
bin1101100111010…
…11101010000100
321221220112200002
412303223222010
5213214231320
615155540432
72554532006
oct663535204
9257815602
10114211460
1159518840
12322ba718
131a87b25c
1411250376
15a060675
hex6ceba84

114211460 has 48 divisors (see below), whose sum is σ = 262906560. Its totient is φ = 41331840.

The previous prime is 114211441. The next prime is 114211463. The reversal of 114211460 is 64112411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (114211463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49247 + ... + 51513.

It is an arithmetic number, because the mean of its divisors is an integer number (5477220).

Almost surely, 2114211460 is an apocalyptic number.

114211460 is a gapful number since it is divisible by the number (10) 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 114211460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131453280).

114211460 is an abundant number, since it is smaller than the sum of its proper divisors (148695100).

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

114211460 is a wasteful number, since it uses less digits than its factorization.

114211460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 114211460 is about 10686.9761859939. The cubic root of 114211460 is about 485.1803771628.

Adding to 114211460 its reverse (64112411), we get a palindrome (178323871).

The spelling of 114211460 in words is "one hundred fourteen million, two hundred eleven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 229 458 916 1145 2267 2290 2519 4534 4580 5038 9068 10076 11335 12595 22670 24937 25190 45340 49874 50380 99748 124685 249370 498740 519143 1038286 2076572 2595715 5191430 5710573 10382860 11421146 22842292 28552865 57105730 114211460