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2247114128 = 247217168601
BaseRepresentation
bin1000010111110000…
…0011110110010000
312210121100020002012
42011330003312100
514100230123003
61010551242052
7106454104100
oct20574036620
95717306065
102247114128
11a5348a116
12528679328
1329a71933c
14174623200
15d24268d8
hex85f03d90

2247114128 has 60 divisors (see below), whose sum is σ = 5362555212. Its totient is φ = 906393600.

The previous prime is 2247114113. The next prime is 2247114131. The reversal of 2247114128 is 8214117422.

It can be written as a sum of positive squares in 2 ways, for example, as 1405650064 + 841464064 = 37492^2 + 29008^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2247114094 and 2247114103.

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, 70973 + ... + 97628.

Almost surely, 22247114128 is an apocalyptic number.

2247114128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2247114128 is an abundant number, since it is smaller than the sum of its proper divisors (3115441084).

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

2247114128 is a wasteful number, since it uses less digits than its factorization.

2247114128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168640 (or 168627 counting only the distinct ones).

The product of its digits is 7168, while the sum is 32.

The square root of 2247114128 is about 47403.7353802419. The cubic root of 2247114128 is about 1309.8102259913.

The spelling of 2247114128 in words is "two billion, two hundred forty-seven million, one hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 3332 6664 13328 168601 337202 674404 1180207 1348808 2360414 2697616 2866217 4720828 5732434 8261449 9441656 11464868 16522898 18883312 20063519 22929736 33045796 40127038 45859472 66091592 80254076 132183184 140444633 160508152 280889266 321016304 561778532 1123557064 2247114128