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23255402214200 = 23521320394386653
BaseRepresentation
bin1010100100110100100011…
…11111001111001100111000
310001100012020222001112221112
411102122101333033030320
511022004030431323300
6121243215001255452
74620101355206252
oct522322177171470
9101305228045845
1023255402214200
1174566193124a2
122737077194588
13cc8c8a169770
145a57d3206cd2
152a4dd67e9e35
hex152691fcf338

23255402214200 has 96 divisors (see below), whose sum is σ = 58256519781600. Its totient is φ = 8582396904960.

The previous prime is 23255402214199. The next prime is 23255402214203. The reversal of 23255402214200 is 241220455232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23255402214203) 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, 3108074 + ... + 7494726.

It is an arithmetic number, because the mean of its divisors is an integer number (606838747725).

Almost surely, 223255402214200 is an apocalyptic number.

23255402214200 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 23255402214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29128259890800).

23255402214200 is an abundant number, since it is smaller than the sum of its proper divisors (35001117567400).

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

23255402214200 is a wasteful number, since it uses less digits than its factorization.

23255402214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388721 (or 4388712 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 23255402214200 its reverse (241220455232), we get a palindrome (23496622669432).

The spelling of 23255402214200 in words is "twenty-three trillion, two hundred fifty-five billion, four hundred two million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2039 2600 4078 8156 10195 16312 20390 26507 40780 50975 53014 81560 101950 106028 132535 203900 212056 265070 407800 530140 662675 1060280 1325350 2650700 4386653 5301400 8773306 17546612 21933265 35093224 43866530 57026489 87733060 109666325 114052978 175466120 219332650 228105956 285132445 438665300 456211912 570264890 877330600 1140529780 1425662225 2281059560 2851324450 5702648900 8944385467 11405297800 17888770934 35777541868 44721927335 71555083736 89443854670 116277011071 178887709340 223609636675 232554022142 357775418680 447219273350 465108044284 581385055355 894438546700 930216088568 1162770110710 1788877093400 2325540221420 2906925276775 4651080442840 5813850553550 11627701107100 23255402214200