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2227150400000 = 29551391969
BaseRepresentation
bin100000011010001100100…
…000100010101000000000
321212220122221101202111212
4200122030200202220000
5242442201000300000
64423045550225252
7316622602022141
oct40321440425000
97786587352455
102227150400000
11789590380399
122bb7781b5228
13132033773096
1479b1a763ac8
153cdeece4c35
hex2068c822a00

2227150400000 has 120 divisors (see below), whose sum is σ = 5562086620860. Its totient is φ = 890859520000.

The previous prime is 2227150399891. The next prime is 2227150400009. The reversal of 2227150400000 is 40517222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 732927756544 + 1494222643456 = 856112^2 + 1222384^2 .

It is not an unprimeable number, because it can be changed into a prime (2227150400009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 904016 + ... + 2295984.

Almost surely, 22227150400000 is an apocalyptic number.

2227150400000 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 2227150400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781043310430).

2227150400000 is an abundant number, since it is smaller than the sum of its proper divisors (3334936220860).

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

2227150400000 is an frugal number, since it uses more digits than its factorization.

2227150400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392012 (or 1391976 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

Adding to 2227150400000 its reverse (40517222), we get a palindrome (2227190917222).

The spelling of 2227150400000 in words is "two trillion, two hundred twenty-seven billion, one hundred fifty million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 16000 20000 25000 32000 40000 50000 64000 80000 100000 160000 200000 320000 400000 800000 1391969 1600000 2783938 5567876 6959845 11135752 13919690 22271504 27839380 34799225 44543008 55678760 69598450 89086016 111357520 139196900 173996125 178172032 222715040 278393800 347992250 356344064 445430080 556787600 695984500 712688128 869980625 890860160 1113575200 1391969000 1739961250 1781720320 2227150400 2783938000 3479922500 3563440640 4349903125 4454300800 5567876000 6959845000 8699806250 8908601600 11135752000 13919690000 17399612500 17817203200 22271504000 27839380000 34799225000 44543008000 55678760000 69598450000 89086016000 111357520000 139196900000 222715040000 278393800000 445430080000 556787600000 1113575200000 2227150400000