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3220244992 = 2917894157
BaseRepresentation
bin1011111111110001…
…0000101000000000
322022102110101200001
42333330100220000
523043340314432
61251313005344
7142541426236
oct27774205000
98272411601
103220244992
1114028207a8
1275a553854
133c4209613
14227978956
1513ca9b9e7
hexbff10a00

3220244992 has 80 divisors (see below), whose sum is σ = 6890887080. Its totient is φ = 1498021888.

The previous prime is 3220244983. The next prime is 3220245023. The reversal of 3220244992 is 2994420223.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2652662016 + 567582976 = 51504^2 + 23824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 772578 + ... + 776734.

Almost surely, 23220244992 is an apocalyptic number.

3220244992 is a gapful number since it is divisible by the number (32) 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 3220244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445443540).

3220244992 is an abundant number, since it is smaller than the sum of its proper divisors (3670642088).

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

3220244992 is an equidigital number, since it uses as much as digits as its factorization.

3220244992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 3220244992 is about 56747.2025037358. The cubic root of 3220244992 is about 1476.7137016941.

The spelling of 3220244992 in words is "three billion, two hundred twenty million, two hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 89 128 136 178 256 272 356 512 544 712 1088 1424 1513 2176 2848 3026 4157 4352 5696 6052 8314 8704 11392 12104 16628 22784 24208 33256 45568 48416 66512 70669 96832 133024 141338 193664 266048 282676 369973 387328 532096 565352 739946 774656 1064192 1130704 1479892 2128384 2261408 2959784 4522816 5919568 6289541 9045632 11839136 12579082 18091264 23678272 25158164 36182528 47356544 50316328 94713088 100632656 189426176 201265312 402530624 805061248 1610122496 3220244992