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3222025000 = 23553592
BaseRepresentation
bin1100000000001100…
…0011001100101000
322022112210211101021
43000003003030220
523044314300000
61251415102224
7142562521615
oct30003031450
98275724337
103222025000
111403827087
1275b071974
133c46b088c
14227cbd50c
1513ccee11a
hexc00c3328

3222025000 has 72 divisors (see below), whose sum is σ = 7572230190. Its totient is φ = 1285220000.

The previous prime is 3222024947. The next prime is 3222025007. The reversal of 3222025000 is 5202223.

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 4639716 + 3217385284 = 2154^2 + 56722^2 .

It is not an unprimeable number, because it can be changed into a prime (3222025007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8974821 + ... + 8975179.

Almost surely, 23222025000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786115095).

3222025000 is an abundant number, since it is smaller than the sum of its proper divisors (4350205190).

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

3222025000 is an frugal number, since it uses more digits than its factorization.

3222025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 3222025000 is about 56762.8840000224. The cubic root of 3222025000 is about 1476.9857387638.

Adding to 3222025000 its reverse (5202223), we get a palindrome (3227227223).

The spelling of 3222025000 in words is "three billion, two hundred twenty-two million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 359 500 625 718 1000 1250 1436 1795 2500 2872 3125 3590 5000 6250 7180 8975 12500 14360 17950 25000 35900 44875 71800 89750 128881 179500 224375 257762 359000 448750 515524 644405 897500 1031048 1121875 1288810 1795000 2243750 2577620 3222025 4487500 5155240 6444050 8975000 12888100 16110125 25776200 32220250 64440500 80550625 128881000 161101250 322202500 402753125 644405000 805506250 1611012500 3222025000