Search a number
-
+
102233040 = 243571331151
BaseRepresentation
bin1100001011111…
…11001111010000
321010100222100220
412011333033100
5202132424130
614051113040
72350652340
oct605771720
9233328326
10102233040
1152787218
122a2a2780
1318246030
14d812d20
158e96410
hex617f3d0

102233040 has 320 divisors, whose sum is σ = 405307392. Its totient is φ = 20736000.

The previous prime is 102233039. The next prime is 102233057. The reversal of 102233040 is 40332201.

Adding to 102233040 its reverse (40332201), we get a palindrome (142565241).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676965 + ... + 677115.

Almost surely, 2102233040 is an apocalyptic number.

102233040 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 102233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202653696).

102233040 is an abundant number, since it is smaller than the sum of its proper divisors (303074352).

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

102233040 is a wasteful number, since it uses less digits than its factorization.

102233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 102233040 is about 10111.0355552733. The cubic root of 102233040 is about 467.5884320877.

The spelling of 102233040 in words is "one hundred two million, two hundred thirty-three thousand, forty".