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242441100 = 22355211907
BaseRepresentation
bin11100111001101…
…01101110001100
3121220012021200000
432130311232030
5444031103400
640020204300
76002500236
oct1634655614
9556167600
10242441100
11114940650
1269239690
133b2c6c95
14242ad256
151643e600
hexe735b8c

242441100 has 216 divisors, whose sum is σ = 860653248. Its totient is φ = 58708800.

The previous prime is 242441099. The next prime is 242441113. The reversal of 242441100 is 1144242.

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

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, 266847 + ... + 267753.

Almost surely, 2242441100 is an apocalyptic number.

242441100 is a gapful number since it is divisible by the number (20) 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 242441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430326624).

242441100 is an abundant number, since it is smaller than the sum of its proper divisors (618212148).

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

242441100 is a wasteful number, since it uses less digits than its factorization.

242441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 242441100 is about 15570.5202225231. The cubic root of 242441100 is about 623.5463603788.

Adding to 242441100 its reverse (1144242), we get a palindrome (243585342).

The spelling of 242441100 in words is "two hundred forty-two million, four hundred forty-one thousand, one hundred".