Search a number
-
+
10097032200 = 2335223898221
BaseRepresentation
bin10010110011101010…
…00111110000001000
3222001200100101021120
421121311013300020
5131134320012300
64345530235240
7505133233443
oct113165076010
928050311246
1010097032200
114311569812
121b59585b20
13c4bb32188
146badc065a
153e16783a0
hex259d47c08

10097032200 has 192 divisors, whose sum is σ = 33032707200. Its totient is φ = 2546227200.

The previous prime is 10097032189. The next prime is 10097032237. The reversal of 10097032200 is 223079001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1224090 + ... + 1232310.

It is an arithmetic number, because the mean of its divisors is an integer number (172045350).

Almost surely, 210097032200 is an apocalyptic number.

10097032200 is a gapful number since it is divisible by the number (10) 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 10097032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516353600).

10097032200 is an abundant number, since it is smaller than the sum of its proper divisors (22935675000).

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

10097032200 is a wasteful number, since it uses less digits than its factorization.

10097032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8352 (or 8343 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The spelling of 10097032200 in words is "ten billion, ninety-seven million, thirty-two thousand, two hundred".