Search a number
-
+
242107221384 = 2332719107236287
BaseRepresentation
bin1110000101111010110…
…1110000010110001000
3212010220212110011022100
43201132231300112020
512431313422041014
6303120021553400
723330433266250
oct3413655602610
9763825404270
10242107221384
119374a23a916
123ab09275860
1319aa4b1a4a2
14ba0a498960
15646ee4d009
hex385eb70588

242107221384 has 192 divisors, whose sum is σ = 796196044800. Its totient is φ = 64920051072.

The previous prime is 242107221347. The next prime is 242107221401. The reversal of 242107221384 is 483122701242.

242107221384 is a `hidden beast` number, since 2 + 42 + 10 + 7 + 221 + 384 = 666.

242107221384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906489 + ... + 1142775.

It is an arithmetic number, because the mean of its divisors is an integer number (4146854400).

Almost surely, 2242107221384 is an apocalyptic number.

242107221384 is a gapful number since it is divisible by the number (24) 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 242107221384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398098022400).

242107221384 is an abundant number, since it is smaller than the sum of its proper divisors (554088823416).

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

242107221384 is a wasteful number, since it uses less digits than its factorization.

242107221384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236432 (or 236425 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 242107221384 in words is "two hundred forty-two billion, one hundred seven million, two hundred twenty-one thousand, three hundred eighty-four".