Search a number
-
+
3222413688 = 2331315168399
BaseRepresentation
bin1100000000010010…
…0010000101111000
322022120112120120010
43000010202011320
523044414214223
61251431301520
7142566031044
oct30004420570
98276476503
103222413688
111403a7210a
1275b21a8a0
133c47b8780
14227d81024
1513cd79393
hexc0122178

3222413688 has 64 divisors (see below), whose sum is σ = 8733312000. Its totient is φ = 984931200.

The previous prime is 3222413683. The next prime is 3222413693. The reversal of 3222413688 is 8863142223.

It is an interprime number because it is at equal distance from previous prime (3222413683) and next prime (3222413693).

It is a super-2 number, since 2×32224136882 = 20767899953219522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222413683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12913 + ... + 81311.

It is an arithmetic number, because the mean of its divisors is an integer number (136458000).

Almost surely, 23222413688 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 3222413688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366656000).

3222413688 is an abundant number, since it is smaller than the sum of its proper divisors (5510898312).

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

3222413688 is a wasteful number, since it uses less digits than its factorization.

3222413688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68572 (or 68568 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 3222413688 is about 56766.3076833433. The cubic root of 3222413688 is about 1477.0451282833.

The spelling of 3222413688 in words is "three billion, two hundred twenty-two million, four hundred thirteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 302 312 453 604 906 1208 1812 1963 3624 3926 5889 7852 11778 15704 23556 47112 68399 136798 205197 273596 410394 547192 820788 889187 1641576 1778374 2667561 3556748 5335122 7113496 10328249 10670244 20656498 21340488 30984747 41312996 61969494 82625992 123938988 134267237 247877976 268534474 402801711 537068948 805603422 1074137896 1611206844 3222413688