Search a number
-
+
21342413200 = 2452239223247
BaseRepresentation
bin10011111000000110…
…110110000110010000
32001002101111220222011
4103320012312012100
5322202124210300
613445441552304
71353612343003
oct237006660620
961071456864
1021342413200
119062265a19
124177645694
132021842984
1410666c753a
1584da37eba
hex4f81b6190

21342413200 has 60 divisors (see below), whose sum is σ = 51489918720. Its totient is φ = 8501207680.

The previous prime is 21342413177. The next prime is 21342413237. The reversal of 21342413200 is 231424312.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16024 + ... + 207223.

It is an arithmetic number, because the mean of its divisors is an integer number (858165312).

Almost surely, 221342413200 is an apocalyptic number.

21342413200 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 21342413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25744959360).

21342413200 is an abundant number, since it is smaller than the sum of its proper divisors (30147505520).

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

21342413200 is a wasteful number, since it uses less digits than its factorization.

21342413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223504 (or 223493 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21342413200 its reverse (231424312), we get a palindrome (21573837512).

The spelling of 21342413200 in words is "twenty-one billion, three hundred forty-two million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 239 400 478 956 1195 1912 2390 3824 4780 5975 9560 11950 19120 23900 47800 95600 223247 446494 892988 1116235 1785976 2232470 3571952 4464940 5581175 8929880 11162350 17859760 22324700 44649400 53356033 89298800 106712066 213424132 266780165 426848264 533560330 853696528 1067120660 1333900825 2134241320 2667801650 4268482640 5335603300 10671206600 21342413200