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23210153200 = 2452138353777
BaseRepresentation
bin10101100111011011…
…101101010011110000
32012220112222221120201
4111213123231103300
5340013244400300
614355042044544
71451112022063
oct254733552360
965815887521
1023210153200
1199305876a3
1245b9049754
13225b78c980
1411a27948da
1590c9c266a
hex5676ed4f0

23210153200 has 120 divisors (see below), whose sum is σ = 60776453808. Its totient is φ = 8466493440.

The previous prime is 23210153191. The next prime is 23210153201. The reversal of 23210153200 is 235101232.

It is a super-2 number, since 2×232101532002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23210153201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404712 + ... + 458488.

Almost surely, 223210153200 is an apocalyptic number.

23210153200 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 23210153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30388226904).

23210153200 is an abundant number, since it is smaller than the sum of its proper divisors (37566300608).

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

23210153200 is a wasteful number, since it uses less digits than its factorization.

23210153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53891 (or 53880 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 23210153200 its reverse (235101232), we get a palindrome (23445254432).

The spelling of 23210153200 in words is "twenty-three billion, two hundred ten million, one hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 83 100 104 130 166 200 208 260 325 332 400 415 520 650 664 830 1040 1079 1300 1328 1660 2075 2158 2600 3320 4150 4316 5200 5395 6640 8300 8632 10790 16600 17264 21580 26975 33200 43160 53777 53950 86320 107554 107900 215108 215800 268885 430216 431600 537770 699101 860432 1075540 1344425 1398202 2151080 2688850 2796404 3495505 4302160 4463491 5377700 5592808 6991010 8926982 10755400 11185616 13982020 17477525 17853964 21510800 22317455 27964040 34955050 35707928 44634910 55928080 58025383 69910100 71415856 89269820 111587275 116050766 139820200 178539640 223174550 232101532 279640400 290126915 357079280 446349100 464203064 580253830 892698200 928406128 1160507660 1450634575 1785396400 2321015320 2901269150 4642030640 5802538300 11605076600 23210153200