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3129990224 = 241726710103
BaseRepresentation
bin1011101010001111…
…1101110001010000
322002010121222101212
42322203331301100
522402234141344
61234330315252
7140364322634
oct27243756120
98063558355
103129990224
111366885a89
12734288b28
133ab5c872a
142199a2dc4
15134bbe79e
hexba8fdc50

3129990224 has 60 divisors (see below), whose sum is σ = 6538864224. Its totient is φ = 1450808832.

The previous prime is 3129990221. The next prime is 3129990229. The reversal of 3129990224 is 4220999213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129990221) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 304757 + ... + 314859.

Almost surely, 23129990224 is an apocalyptic number.

3129990224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3129990224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269432112).

3129990224 is an abundant number, since it is smaller than the sum of its proper divisors (3408874000).

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

3129990224 is a wasteful number, since it uses less digits than its factorization.

3129990224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10212 (or 10189 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 3129990224 is about 55946.3155533946. The cubic root of 3129990224 is about 1462.7866687575.

The spelling of 3129990224 in words is "three billion, one hundred twenty-nine million, nine hundred ninety thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 289 536 578 1072 1139 1156 2278 2312 4556 4624 9112 10103 18224 19363 20206 38726 40412 77452 80824 154904 161648 171751 309808 343502 676901 687004 1353802 1374008 2707604 2748016 2919767 5415208 5839534 10830416 11507317 11679068 23014634 23358136 46029268 46716272 92058536 184117072 195624389 391248778 782497556 1564995112 3129990224