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227312500000 = 25593637
BaseRepresentation
bin1101001110110011100…
…0010111110100100000
3210201201210120102221111
43103230320113310200
512211014000000000
6252231555433104
722265005240615
oct3235470276440
9721653512844
10227312500000
1188447a86753
123807a5b5794
1318587986291
14b00562c50c
155da6186cba
hex34ece17d20

227312500000 has 120 divisors (see below), whose sum is σ = 559555606764. Its totient is φ = 90900000000.

The previous prime is 227312499949. The next prime is 227312500013. The reversal of 227312500000 is 5213722.

227312500000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 77112846864 + 150199653136 = 277692^2 + 387556^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62498182 + ... + 62501818.

Almost surely, 2227312500000 is an apocalyptic number.

227312500000 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 227312500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279777803382).

227312500000 is an abundant number, since it is smaller than the sum of its proper divisors (332243106764).

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

227312500000 is an frugal number, since it uses more digits than its factorization.

227312500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

Adding to 227312500000 its reverse (5213722), we get a palindrome (227317713722).

The spelling of 227312500000 in words is "two hundred twenty-seven billion, three hundred twelve million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 3637 4000 5000 6250 7274 10000 12500 14548 15625 18185 20000 25000 29096 31250 36370 50000 58192 62500 72740 78125 90925 100000 116384 125000 145480 156250 181850 250000 290960 312500 363700 390625 454625 500000 581920 625000 727400 781250 909250 1250000 1454800 1562500 1818500 1953125 2273125 2500000 2909600 3125000 3637000 3906250 4546250 6250000 7274000 7812500 9092500 11365625 12500000 14548000 15625000 18185000 22731250 31250000 36370000 45462500 56828125 62500000 72740000 90925000 113656250 181850000 227312500 284140625 363700000 454625000 568281250 909250000 1136562500 1420703125 1818500000 2273125000 2841406250 4546250000 5682812500 7103515625 9092500000 11365625000 14207031250 22731250000 28414062500 45462500000 56828125000 113656250000 227312500000