Search a number
-
+
3222223680 = 26351319107127
BaseRepresentation
bin1100000000001111…
…0011101101000000
322022120011220220210
43000003303231000
523044342124210
61251423234120
7142564310064
oct30003635500
98276156823
103222223680
111403952385
1275b148940
133c4750140
14227d31aa4
1513cd3ce20
hexc00f3b40

3222223680 has 448 divisors, whose sum is σ = 11797954560. Its totient is φ = 738533376.

The previous prime is 3222223657. The next prime is 3222223703. The reversal of 3222223680 is 863222223.

It is an interprime number because it is at equal distance from previous prime (3222223657) and next prime (3222223703).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25371777 + ... + 25371903.

It is an arithmetic number, because the mean of its divisors is an integer number (26334720).

Almost surely, 23222223680 is an apocalyptic number.

3222223680 is a gapful number since it is divisible by the number (30) 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 3222223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898977280).

3222223680 is an abundant number, since it is smaller than the sum of its proper divisors (8575730880).

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

3222223680 is a wasteful number, since it uses less digits than its factorization.

3222223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3222223680 is about 56764.6340603020. The cubic root of 3222223680 is about 1477.0160966386.

The spelling of 3222223680 in words is "three billion, two hundred twenty-two million, two hundred twenty-three thousand, six hundred eighty".