Search a number
-
+
1122342140 = 225434727767
BaseRepresentation
bin100001011100101…
…1001010011111100
32220012212212222102
41002321121103330
54244304422030
6303211404232
736545515343
oct10271312374
92805785872
101122342140
11526595297
12273a53678
1314b6a419a
14a90b6b5a
15687eac45
hex42e594fc

1122342140 has 48 divisors (see below), whose sum is σ = 2463132672. Its totient is φ = 429151296.

The previous prime is 1122342119. The next prime is 1122342149. The reversal of 1122342140 is 412432211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122342149) 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, 26537 + ... + 54303.

It is an arithmetic number, because the mean of its divisors is an integer number (51315264).

Almost surely, 21122342140 is an apocalyptic number.

1122342140 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 1122342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231566336).

1122342140 is an abundant number, since it is smaller than the sum of its proper divisors (1340790532).

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

1122342140 is a wasteful number, since it uses less digits than its factorization.

1122342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27866 (or 27864 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1122342140 is about 33501.3751956543. The cubic root of 1122342140 is about 1039.2222180235. Note that the first 4 decimals are identical.

Adding to 1122342140 its reverse (412432211), we get a palindrome (1534774351).

The spelling of 1122342140 in words is "one billion, one hundred twenty-two million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 47 86 94 172 188 215 235 430 470 860 940 2021 4042 8084 10105 20210 27767 40420 55534 111068 138835 277670 555340 1193981 1305049 2387962 2610098 4775924 5220196 5969905 6525245 11939810 13050490 23879620 26100980 56117107 112234214 224468428 280585535 561171070 1122342140