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3222032240 = 24573294049
BaseRepresentation
bin1100000000001100…
…0100111101110000
322022112211012022102
43000003010331300
523044320012430
61251415155532
7142562552000
oct30003047560
98275735272
103222032240
111403831569
1275b075ba8
133c46b3c6b
14227cc2000
1513cd01345
hexc00c4f70

3222032240 has 160 divisors (see below), whose sum is σ = 9039600000. Its totient is φ = 1066340352.

The previous prime is 3222032227. The next prime is 3222032243. The reversal of 3222032240 is 422302223.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222032243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793736 + ... + 797784.

It is an arithmetic number, because the mean of its divisors is an integer number (56497500).

Almost surely, 23222032240 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 3222032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519800000).

3222032240 is an abundant number, since it is smaller than the sum of its proper divisors (5817567760).

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

3222032240 is a wasteful number, since it uses less digits than its factorization.

3222032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3222032240 is about 56762.9477740542. The cubic root of 3222032240 is about 1476.9868450420.

Adding to 3222032240 its reverse (422302223), we get a palindrome (3644334463).

The spelling of 3222032240 in words is "three billion, two hundred twenty-two million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 49 56 58 70 80 98 112 116 140 145 196 203 232 245 280 290 343 392 406 464 490 560 580 686 784 812 980 1015 1160 1372 1421 1624 1715 1960 2030 2320 2744 2842 3248 3430 3920 4049 4060 5488 5684 6860 7105 8098 8120 9947 11368 13720 14210 16196 16240 19894 20245 22736 27440 28343 28420 32392 39788 40490 49735 56686 56840 64784 79576 80980 99470 113372 113680 117421 141715 159152 161960 198401 198940 226744 234842 283430 323920 396802 397880 453488 469684 566860 587105 793604 795760 821947 939368 992005 1133720 1174210 1388807 1587208 1643894 1878736 1984010 2267440 2348420 2777614 3174416 3287788 3968020 4109735 4696840 5555228 5753629 6575576 6944035 7936040 8219470 9393680 11110456 11507258 13151152 13888070 15872080 16438940 22220912 23014516 27776140 28768145 32877880 40275403 46029032 55552280 57536290 65755760 80550806 92058064 111104560 115072580 161101612 201377015 230145160 322203224 402754030 460290320 644406448 805508060 1611016120 3222032240