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21344153200 = 245257792479
BaseRepresentation
bin10011111000001101…
…011110111001110000
32001002111210022210121
4103320031132321300
5322203100400300
613445543140024
71353633210616
oct237015367160
961074708717
1021344153200
119063244237
124178144614
132022001966
141066a1b6b6
1584dc7d81a
hex4f835ee70

21344153200 has 60 divisors (see below), whose sum is σ = 51368755840. Its totient is φ = 8522772480.

The previous prime is 21344153183. The next prime is 21344153213. The reversal of 21344153200 is 235144312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184561 + ... + 277039.

Almost surely, 221344153200 is an apocalyptic number.

21344153200 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 21344153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25684377920).

21344153200 is an abundant number, since it is smaller than the sum of its proper divisors (30024602640).

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

21344153200 is a wasteful number, since it uses less digits than its factorization.

21344153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93074 (or 93063 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 21344153200 its reverse (235144312), we get a palindrome (21579297512).

The spelling of 21344153200 in words is "twenty-one billion, three hundred forty-four million, one hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 577 1154 2308 2885 4616 5770 9232 11540 14425 23080 28850 46160 57700 92479 115400 184958 230800 369916 462395 739832 924790 1479664 1849580 2311975 3699160 4623950 7398320 9247900 18495800 36991600 53360383 106720766 213441532 266801915 426883064 533603830 853766128 1067207660 1334009575 2134415320 2668019150 4268830640 5336038300 10672076600 21344153200