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22071005000 = 23541121912
BaseRepresentation
bin10100100011100010…
…001100111101001000
32002222011111020000122
4110203202030331020
5330200134130000
614050030122412
71410640306232
oct244342147510
962864436018
1022071005000
1193a6563800
12433b650408
132109783095
1410d5385252
158929a7085
hex52388cf48

22071005000 has 180 divisors, whose sum is σ = 57140017935. Its totient is φ = 7983800000.

The previous prime is 22071004951. The next prime is 22071005003. The reversal of 22071005000 is 50017022.

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 5102816356 + 16968188644 = 71434^2 + 130262^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105050.

It is a self number, because there is not a number n which added to its sum of digits gives 22071005000.

It is not an unprimeable number, because it can be changed into a prime (22071005003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 115554905 + ... + 115555095.

Almost surely, 222071005000 is an apocalyptic number.

22071005000 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 22071005000

22071005000 is an abundant number, since it is smaller than the sum of its proper divisors (35069012935).

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

22071005000 is an equidigital number, since it uses as much as digits as its factorization.

22071005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The spelling of 22071005000 in words is "twenty-two billion, seventy-one million, five thousand".