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23014200 = 23352112317
BaseRepresentation
bin101011111001…
…0101100111000
31121022020112210
41113302230320
521342423300
62141135120
7366421536
oct127625470
947266483
1023014200
1111a99a00
12785a4a0
1349ca391
1430b1156
152049050
hex15f2b38

23014200 has 144 divisors (see below), whose sum is σ = 78666840. Its totient is φ = 5561600.

The previous prime is 23014177. The next prime is 23014213. The reversal of 23014200 is 241032.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72442 + ... + 72758.

Almost surely, 223014200 is an apocalyptic number.

23014200 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 23014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39333420).

23014200 is an abundant number, since it is smaller than the sum of its proper divisors (55652640).

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

23014200 is a wasteful number, since it uses less digits than its factorization.

23014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 23014200 is about 4797.3117472184. The cubic root of 23014200 is about 284.4452119029.

Adding to 23014200 its reverse (241032), we get a palindrome (23255232).

The spelling of 23014200 in words is "twenty-three million, fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 317 330 363 440 484 550 600 605 634 660 726 825 951 968 1100 1210 1268 1320 1452 1585 1650 1815 1902 2200 2420 2536 2904 3025 3170 3300 3487 3630 3804 4755 4840 6050 6340 6600 6974 7260 7608 7925 9075 9510 10461 12100 12680 13948 14520 15850 17435 18150 19020 20922 23775 24200 27896 31700 34870 36300 38040 38357 41844 47550 52305 63400 69740 72600 76714 83688 87175 95100 104610 115071 139480 153428 174350 190200 191785 209220 230142 261525 306856 348700 383570 418440 460284 523050 575355 697400 767140 920568 958925 1046100 1150710 1534280 1917850 2092200 2301420 2876775 3835700 4602840 5753550 7671400 11507100 23014200