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22400023040 = 29514476047
BaseRepresentation
bin10100110111001001…
…010011101000000000
32010211002121001220222
4110313021103220000
5331333401214130
614142422122212
71422044024423
oct246711235000
963732531828
1022400023040
11955525793a
124411880368
13215c9a0c05
141126d4d9ba
158b17e8ce5
hex537253a00

22400023040 has 80 divisors (see below), whose sum is σ = 53753559552. Its totient is φ = 8952336384.

The previous prime is 22400023033. The next prime is 22400023049. The reversal of 22400023040 is 4032000422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×224000230402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22400023049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3701297 + ... + 3707343.

Almost surely, 222400023040 is an apocalyptic number.

22400023040 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 22400023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26876779776).

22400023040 is an abundant number, since it is smaller than the sum of its proper divisors (31353536512).

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

22400023040 is an equidigital number, since it uses as much as digits as its factorization.

22400023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7517 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 22400023040 its reverse (4032000422), we get a palindrome (26432023462).

The spelling of 22400023040 in words is "twenty-two billion, four hundred million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1447 2560 2894 5788 6047 7235 11576 12094 14470 23152 24188 28940 30235 46304 48376 57880 60470 92608 96752 115760 120940 185216 193504 231520 241880 370432 387008 463040 483760 740864 774016 926080 967520 1548032 1852160 1935040 3096064 3704320 3870080 7740160 8750009 15480320 17500018 35000036 43750045 70000072 87500090 140000144 175000180 280000288 350000360 560000576 700000720 1120001152 1400001440 2240002304 2800002880 4480004608 5600005760 11200011520 22400023040