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3222012240 = 243254475017
BaseRepresentation
bin1100000000001100…
…0000000101010000
322022112210011212200
43000003000011100
523044313342430
61251414523200
7142562436456
oct30003000520
98275704780
103222012240
111403818537
1275b066500
133c46a7b25
14227cb89d6
1513ccea460
hexc00c0150

3222012240 has 60 divisors (see below), whose sum is σ = 10820593524. Its totient is φ = 859203072.

The previous prime is 3222012223. The next prime is 3222012271. The reversal of 3222012240 is 422102223.

It can be written as a sum of positive squares in 2 ways, for example, as 726410304 + 2495601936 = 26952^2 + 49956^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2236789 + ... + 2238228.

Almost surely, 23222012240 is an apocalyptic number.

3222012240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3222012240 is an abundant number, since it is smaller than the sum of its proper divisors (7598581284).

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

3222012240 is a wasteful number, since it uses less digits than its factorization.

3222012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475036 (or 4475027 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3222012240 is about 56762.7716025213. The cubic root of 3222012240 is about 1476.9837890207.

Adding to 3222012240 its reverse (422102223), we get a palindrome (3644114463).

The spelling of 3222012240 in words is "three billion, two hundred twenty-two million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4475017 8950034 13425051 17900068 22375085 26850102 35800136 40275153 44750170 53700204 67125255 71600272 80550306 89500340 107400408 134250510 161100612 179000680 201375765 214800816 268501020 322201224 358001360 402751530 537002040 644402448 805503060 1074004080 1611006120 3222012240