Search a number
-
+
2923531000 = 235313217299
BaseRepresentation
bin1010111001000001…
…1000101011111000
321112202010202120221
42232100120223320
521441410443000
61202033225424
7132306413665
oct25620305370
97482122527
102923531000
111270291125
12697102274
133778bc400
141da3bca6c
151219db61a
hexae418af8

2923531000 has 96 divisors (see below), whose sum is σ = 7408206000. Its totient is φ = 1079395200.

The previous prime is 2923530949. The next prime is 2923531033. The reversal of 2923531000 is 1353292.

It is a happy number.

It is a super-2 number, since 2×29235310002 = 17094067015922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160351 + ... + 177649.

Almost surely, 22923531000 is an apocalyptic number.

2923531000 is a gapful number since it is divisible by the number (20) 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 2923531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704103000).

2923531000 is an abundant number, since it is smaller than the sum of its proper divisors (4484675000).

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

2923531000 is a wasteful number, since it uses less digits than its factorization.

2923531000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17346 (or 17319 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 2923531000 is about 54069.6865165686. The cubic root of 2923531000 is about 1429.8897986702.

Adding to 2923531000 its reverse (1353292), we get a palindrome (2924884292).

The spelling of 2923531000 in words is "two billion, nine hundred twenty-three million, five hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 169 200 250 260 325 338 500 520 650 676 845 1000 1300 1352 1625 1690 2600 3250 3380 4225 6500 6760 8450 13000 16900 17299 21125 33800 34598 42250 69196 84500 86495 138392 169000 172990 224887 345980 432475 449774 691960 864950 899548 1124435 1729900 1799096 2162375 2248870 2923531 3459800 4324750 4497740 5622175 5847062 8649500 8995480 11244350 11694124 14617655 17299000 22488700 23388248 28110875 29235310 44977400 56221750 58470620 73088275 112443500 116941240 146176550 224887000 292353100 365441375 584706200 730882750 1461765500 2923531000