Search a number
-
+
23173900 = 22522961131
BaseRepresentation
bin101100001100…
…1101100001100
31121121100121121
41120121230030
521413031100
62144410324
7400655251
oct130315414
947540547
1023173900
1112098992
1279169a4
134a54c89
143113428
15207b51a
hex1619b0c

23173900 has 72 divisors (see below), whose sum is σ = 53277840. Its totient is φ = 8736000.

The previous prime is 23173889. The next prime is 23173933. The reversal of 23173900 is 937132.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176835 + ... + 176965.

It is an arithmetic number, because the mean of its divisors is an integer number (739970).

Almost surely, 223173900 is an apocalyptic number.

23173900 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 23173900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26638920).

23173900 is an abundant number, since it is smaller than the sum of its proper divisors (30103940).

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

23173900 is a wasteful number, since it uses less digits than its factorization.

23173900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 23173900 is about 4813.9277103006. The cubic root of 23173900 is about 285.1016360599.

The spelling of 23173900 in words is "twenty-three million, one hundred seventy-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 61 100 116 122 131 145 244 262 290 305 524 580 610 655 725 1220 1310 1450 1525 1769 2620 2900 3050 3275 3538 3799 6100 6550 7076 7598 7991 8845 13100 15196 15982 17690 18995 31964 35380 37990 39955 44225 75980 79910 88450 94975 159820 176900 189950 199775 231739 379900 399550 463478 799100 926956 1158695 2317390 4634780 5793475 11586950 23173900