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23097200 = 2452773113
BaseRepresentation
bin101100000011…
…0111101110000
31121110110101212
41120012331300
521403102300
62143015252
7400215530
oct130067560
947413355
1023097200
11120462a5
12789a528
134a290a9
1430d34c0
152063935
hex1606f70

23097200 has 120 divisors (see below), whose sum is σ = 64855968. Its totient is φ = 7741440.

The previous prime is 23097197. The next prime is 23097211. The reversal of 23097200 is 279032.

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, 204344 + ... + 204456.

Almost surely, 223097200 is an apocalyptic number.

23097200 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 23097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32427984).

23097200 is an abundant number, since it is smaller than the sum of its proper divisors (41758768).

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

23097200 is a wasteful number, since it uses less digits than its factorization.

23097200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 23097200 is about 4805.9546398192. The cubic root of 23097200 is about 284.7867492678.

The spelling of 23097200 in words is "twenty-three million, ninety-seven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 73 80 100 112 113 140 146 175 200 226 280 292 350 365 400 452 511 560 565 584 700 730 791 904 1022 1130 1168 1400 1460 1582 1808 1825 2044 2260 2555 2800 2825 2920 3164 3650 3955 4088 4520 5110 5650 5840 6328 7300 7910 8176 8249 9040 10220 11300 12656 12775 14600 15820 16498 19775 20440 22600 25550 29200 31640 32996 39550 40880 41245 45200 51100 57743 63280 65992 79100 82490 102200 115486 131984 158200 164980 204400 206225 230972 288715 316400 329960 412450 461944 577430 659920 824900 923888 1154860 1443575 1649800 2309720 2887150 3299600 4619440 5774300 11548600 23097200