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3114332200 = 235272317789
BaseRepresentation
bin1011100110100000…
…1111000000101000
322001001011110122001
42321220033000220
522334232112300
61233010540344
7140114246500
oct27150170050
98031143561
103114332200
111358a60971
1272ab976b4
133a82a5725
14217888a00
1513362a16a
hexb9a0f028

3114332200 has 72 divisors (see below), whose sum is σ = 8423023950. Its totient is φ = 1067767680.

The previous prime is 3114332197. The next prime is 3114332201. The reversal of 3114332200 is 22334113.

It can be written as a sum of positive squares in 3 ways, for example, as 2595494916 + 518837284 = 50946^2 + 22778^2 .

It is not an unprimeable number, because it can be changed into a prime (3114332201) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 149095 + ... + 168694.

Almost surely, 23114332200 is an apocalyptic number.

It is an amenable number.

3114332200 is an abundant number, since it is smaller than the sum of its proper divisors (5308691750).

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

3114332200 is a wasteful number, since it uses less digits than its factorization.

3114332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317819 (or 317803 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3114332200 is about 55806.2021642756. The cubic root of 3114332200 is about 1460.3433545367.

Adding to 3114332200 its reverse (22334113), we get a palindrome (3136666313).

The spelling of 3114332200 in words is "three billion, one hundred fourteen million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 317789 635578 1271156 1588945 2224523 2542312 3177890 4449046 6355780 7944725 8898092 11122615 12711560 15571661 15889450 17796184 22245230 31143322 31778900 44490460 55613075 62286644 63557800 77858305 88980920 111226150 124573288 155716610 222452300 311433220 389291525 444904600 622866440 778583050 1557166100 3114332200