Search a number
-
+
2422098000 = 243253747409
BaseRepresentation
bin1001000001011110…
…0100100001010000
320020210121022211100
42100113210201100
514430024114000
61040201544400
7114010331130
oct22027444120
96223538740
102422098000
111033236093
125771a5100
132c7a54caa
1418d972ac0
15e298da00
hex905e4850

2422098000 has 480 divisors, whose sum is σ = 9897937920. Its totient is φ = 540518400.

The previous prime is 2422097999. The next prime is 2422098101. The reversal of 2422098000 is 8902242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5921796 + ... + 5922204.

It is an arithmetic number, because the mean of its divisors is an integer number (20620704).

Almost surely, 22422098000 is an apocalyptic number.

2422098000 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 2422098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948968960).

2422098000 is an abundant number, since it is smaller than the sum of its proper divisors (7475839920).

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

2422098000 is a wasteful number, since it uses less digits than its factorization.

2422098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2422098000 is about 49214.8148426874. The cubic root of 2422098000 is about 1342.9625550483.

The spelling of 2422098000 in words is "two billion, four hundred twenty-two million, ninety-eight thousand".