Search a number
-
+
3223322240 = 27511874243
BaseRepresentation
bin1100000000011111…
…1111111010000000
322022122020201212012
43000013333322000
523100132302430
61251502552052
7142606533635
oct30007777200
98278221765
103223322240
111404532786
1275b598628
133c4a46188
1422813a18c
1513cea8695
hexc01ffe80

3223322240 has 64 divisors (see below), whose sum is σ = 7714064160. Its totient is φ = 1287939072.

The previous prime is 3223322237. The next prime is 3223322251. The reversal of 3223322240 is 422233223.

It is a tau number, because it is divible by the number of its divisors (64).

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, 757559 + ... + 761801.

Almost surely, 23223322240 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 3223322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857032080).

3223322240 is an abundant number, since it is smaller than the sum of its proper divisors (4490741920).

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

3223322240 is a wasteful number, since it uses less digits than its factorization.

3223322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3223322240 is about 56774.3096831657. The cubic root of 3223322240 is about 1477.1839317117.

Adding to 3223322240 its reverse (422233223), we get a palindrome (3645555463).

The spelling of 3223322240 in words is "three billion, two hundred twenty-three million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1187 2374 4243 4748 5935 8486 9496 11870 16972 18992 21215 23740 33944 37984 42430 47480 67888 75968 84860 94960 135776 151936 169720 189920 271552 339440 379840 543104 678880 759680 1357760 2715520 5036441 10072882 20145764 25182205 40291528 50364410 80583056 100728820 161166112 201457640 322332224 402915280 644664448 805830560 1611661120 3223322240