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23202131200 = 285219190807
BaseRepresentation
bin10101100110111101…
…000110110100000000
32012212222220101110121
4111212331012310000
5340004221144300
614354154110024
71450653601243
oct254675066400
965788811417
1023202131200
119926aa8646
1245b641b314
132259c11521
1411a16a725a
1590be3a81a
hex566f46d00

23202131200 has 108 divisors (see below), whose sum is σ = 60451790560. Its totient is φ = 8792340480.

The previous prime is 23202131189. The next prime is 23202131209. The reversal of 23202131200 is 213120232.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23202131209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26197 + ... + 217003.

Almost surely, 223202131200 is an apocalyptic number.

23202131200 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 23202131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30225895280).

23202131200 is an abundant number, since it is smaller than the sum of its proper divisors (37249659360).

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

23202131200 is a wasteful number, since it uses less digits than its factorization.

23202131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190852 (or 190833 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23202131200 its reverse (213120232), we get a palindrome (23415251432).

The spelling of 23202131200 in words is "twenty-three billion, two hundred two million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 256 304 320 380 400 475 608 640 760 800 950 1216 1280 1520 1600 1900 2432 3040 3200 3800 4864 6080 6400 7600 12160 15200 24320 30400 60800 121600 190807 381614 763228 954035 1526456 1908070 3052912 3625333 3816140 4770175 6105824 7250666 7632280 9540350 12211648 14501332 15264560 18126665 19080700 24423296 29002664 30529120 36253330 38161400 48846592 58005328 61058240 72506660 76322800 90633325 116010656 122116480 145013320 152645600 181266650 232021312 244232960 290026640 305291200 362533300 464042624 580053280 610582400 725066600 928085248 1160106560 1221164800 1450133200 2320213120 2900266400 4640426240 5800532800 11601065600 23202131200