Search a number
-
+
1122125400 = 233552112099
BaseRepresentation
bin100001011100010…
…0100011001011000
32220012110212200000
41002320210121120
54244231003100
6303203013000
736543623424
oct10270443130
92805425600
101122125400
11526457470
1227396a160
1314b629636
14a905bb84
15687a6900
hex42e24658

1122125400 has 288 divisors, whose sum is σ = 4265352000. Its totient is φ = 271900800.

The previous prime is 1122125339. The next prime is 1122125441. The reversal of 1122125400 is 45212211.

1122125400 is a `hidden beast` number, since 1 + 122 + 1 + 2 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 533551 + ... + 535649.

It is an arithmetic number, because the mean of its divisors is an integer number (14810250).

Almost surely, 21122125400 is an apocalyptic number.

1122125400 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 1122125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132676000).

1122125400 is an abundant number, since it is smaller than the sum of its proper divisors (3143226600).

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

1122125400 is a wasteful number, since it uses less digits than its factorization.

1122125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1122125400 is about 33498.1402468853. The cubic root of 1122125400 is about 1039.1553175909.

Adding to 1122125400 its reverse (45212211), we get a palindrome (1167337611).

The spelling of 1122125400 in words is "one billion, one hundred twenty-two million, one hundred twenty-five thousand, four hundred".