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3221002240 = 21151718503
BaseRepresentation
bin1011111111111100…
…1001100000000000
322022110212212102021
42333333021200000
523044034032430
61251341131224
7142551032041
oct27777114000
98273785367
103221002240
111403198725
1275a859b14
133c44131b1
14227ad48c8
1513cb9b07a
hexbffc9800

3221002240 has 96 divisors (see below), whose sum is σ = 8183579040. Its totient is φ = 1212547072.

The previous prime is 3221002229. The next prime is 3221002241. The reversal of 3221002240 is 422001223.

3221002240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221002241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164829 + ... + 183331.

It is an arithmetic number, because the mean of its divisors is an integer number (85245615).

Almost surely, 23221002240 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 3221002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091789520).

3221002240 is an abundant number, since it is smaller than the sum of its proper divisors (4962576800).

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

3221002240 is a wasteful number, since it uses less digits than its factorization.

3221002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18547 (or 18527 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3221002240 is about 56753.8742289899. The cubic root of 3221002240 is about 1476.8294434942.

Adding to 3221002240 its reverse (422001223), we get a palindrome (3643003463).

The spelling of 3221002240 in words is "three billion, two hundred twenty-one million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4352 5120 5440 8704 10240 10880 17408 18503 21760 34816 37006 43520 74012 87040 92515 148024 174080 185030 296048 314551 370060 592096 629102 740120 1184192 1258204 1480240 1572755 2368384 2516408 2960480 3145510 4736768 5032816 5920960 6291020 9473536 10065632 11841920 12582040 18947072 20131264 23683840 25164080 37894144 40262528 47367680 50328160 80525056 94735360 100656320 161050112 189470720 201312640 322100224 402625280 644200448 805250560 1610501120 3221002240