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21444503200 = 255226805629
BaseRepresentation
bin10011111110001100…
…010010011010100000
32001100111121122010021
4103332030102122200
5322404243100300
613503530043224
71356262161331
oct237614223240
961314548107
1021444503200
11910495471a
1241a5879514
132039a38863
1410760a0288
158579a1d1a
hex4fe3126a0

21444503200 has 36 divisors (see below), whose sum is σ = 52351395390. Its totient is φ = 8577800960.

The previous prime is 21444503191. The next prime is 21444503207. The reversal of 21444503200 is 230544412.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 20635897104 + 808606096 = 143652^2 + 28436^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21444503207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13402015 + ... + 13403614.

Almost surely, 221444503200 is an apocalyptic number.

21444503200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21444503200 is an abundant number, since it is smaller than the sum of its proper divisors (30906892190).

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

21444503200 is a wasteful number, since it uses less digits than its factorization.

21444503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26805649 (or 26805636 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 21444503200 in words is "twenty-one billion, four hundred forty-four million, five hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 26805629 53611258 107222516 134028145 214445032 268056290 428890064 536112580 670140725 857780128 1072225160 1340281450 2144450320 2680562900 4288900640 5361125800 10722251600 21444503200