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3122233040 = 2451311511973
BaseRepresentation
bin1011101000011001…
…0111111011010000
322001121000212112202
42322012113323100
522343242424130
61233452142332
7140241354143
oct27206277320
98047025482
103122233040
111362467993
127317679a8
133a9b10994
1421894405a
1513418b145
hexba197ed0

3122233040 has 80 divisors (see below), whose sum is σ = 7366778496. Its totient is φ = 1230528000.

The previous prime is 3122233027. The next prime is 3122233067. The reversal of 3122233040 is 403322213.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1581494 + ... + 1583466.

Almost surely, 23122233040 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 3122233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683389248).

3122233040 is an abundant number, since it is smaller than the sum of its proper divisors (4244545456).

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

3122233040 is a wasteful number, since it uses less digits than its factorization.

3122233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3122233040 is about 55876.9455142280. The cubic root of 3122233040 is about 1461.5772408831.

Adding to 3122233040 its reverse (403322213), we get a palindrome (3525555253).

The spelling of 3122233040 in words is "three billion, one hundred twenty-two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 151 262 302 524 604 655 755 1048 1208 1310 1510 1973 2096 2416 2620 3020 3946 5240 6040 7892 9865 10480 12080 15784 19730 19781 31568 39460 39562 78920 79124 98905 157840 158248 197810 258463 297923 316496 395620 516926 595846 791240 1033852 1191692 1292315 1489615 1582480 2067704 2383384 2584630 2979230 4135408 4766768 5169260 5958460 10338520 11916920 20677040 23833840 39027913 78055826 156111652 195139565 312223304 390279130 624446608 780558260 1561116520 3122233040