Search a number
-
+
22387280000 = 2754234
BaseRepresentation
bin10100110110011000…
…101100100010000000
32010210012121122202112
4110312120230202000
5331322120430000
614141245034452
71421530511621
oct246630544200
963705548675
1022387280000
1195490438a8
124409555a28
13215a15b957
141125393a48
158b062d235
hex53662c880

22387280000 has 200 divisors, whose sum is σ = 58264985955. Its totient is φ = 8565568000.

The previous prime is 22387279987. The next prime is 22387280009. The reversal of 22387280000 is 8278322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 5175939136 + 17211340864 = 71944^2 + 131192^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105800.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (22387280009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 973359989 + ... + 973360011.

Almost surely, 222387280000 is an apocalyptic number.

22387280000 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 22387280000

22387280000 is an abundant number, since it is smaller than the sum of its proper divisors (35877705955).

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

22387280000 is an frugal number, since it uses more digits than its factorization.

22387280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

Multiplying 22387280000 by its sum of digits (32), we get a 4-th power (716392960000 = 9204).

22387280000 divided by its sum of digits (32) gives a square (699602500 = 264502).

The spelling of 22387280000 in words is "twenty-two billion, three hundred eighty-seven million, two hundred eighty thousand".