Search a number
-
+
22140702000 = 24355345557
BaseRepresentation
bin10100100111101100…
…000100110100110000
32010011000122012100000
4110213230010310300
5330321004431000
614101000030000
71412444601414
oct244754046460
963130565300
1022140702000
11943193812a
12435aa62300
13211b046a01
141100728d44
15898b73000
hex527b04d30

22140702000 has 240 divisors, whose sum is σ = 80195929632. Its totient is φ = 5904057600.

The previous prime is 22140701993. The next prime is 22140702011. The reversal of 22140702000 is 20704122.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 463222 + ... + 508778.

Almost surely, 222140702000 is an apocalyptic number.

22140702000 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 22140702000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40097964816).

22140702000 is an abundant number, since it is smaller than the sum of its proper divisors (58055227632).

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

22140702000 is an equidigital number, since it uses as much as digits as its factorization.

22140702000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45595 (or 45567 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The spelling of 22140702000 in words is "twenty-two billion, one hundred forty million, seven hundred two thousand".