Search a number
-
+
35223442380 = 223357127239307
BaseRepresentation
bin100000110011011110…
…110001001111001100
310100220210010021021000
4200303132301033030
51034114200124010
624103104340300
72354604214560
oct406336611714
9110823107230
1035223442380
1113a35795665
1269b0314690
1334245c81c9
1419c20716a0
15db24ba7c0
hex8337b13cc

35223442380 has 384 divisors, whose sum is σ = 127166054400. Its totient is φ = 7928347392.

The previous prime is 35223442379. The next prime is 35223442393. The reversal of 35223442380 is 8324432253.

35223442380 is a `hidden beast` number, since 3 + 5 + 2 + 234 + 42 + 380 = 666.

35223442380 is digitally balanced in base 2, 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 127 ways as a sum of consecutive naturals, for example, 114734187 + ... + 114734493.

It is an arithmetic number, because the mean of its divisors is an integer number (331161600).

Almost surely, 235223442380 is an apocalyptic number.

35223442380 is a gapful number since it is divisible by the number (30) 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 35223442380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63583027200).

35223442380 is an abundant number, since it is smaller than the sum of its proper divisors (91942612020).

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

35223442380 is a wasteful number, since it uses less digits than its factorization.

35223442380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 35223442380 in words is "thirty-five billion, two hundred twenty-three million, four hundred forty-two thousand, three hundred eighty".