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221144011400 = 23521385055389
BaseRepresentation
bin1100110111110100110…
…1011101001010001000
3210010210220110202100202
43031331031131022020
512110400331331100
6245331523351332
721656104040054
oct3157515351210
9703726422322
10221144011400
1185872035994
1236a38822548
1317b13a17120
14a9bc2c0c64
155b4486b7d5
hex337d35d288

221144011400 has 48 divisors (see below), whose sum is σ = 553710588900. Its totient is φ = 81653172480.

The previous prime is 221144011343. The next prime is 221144011409. The reversal of 221144011400 is 4110441122.

It can be written as a sum of positive squares in 6 ways, for example, as 5329876036 + 215814135364 = 73006^2 + 464558^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (221144011409) 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, 42525095 + ... + 42530294.

Almost surely, 2221144011400 is an apocalyptic number.

221144011400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221144011400 is an abundant number, since it is smaller than the sum of its proper divisors (332566577500).

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

221144011400 is a wasteful number, since it uses less digits than its factorization.

221144011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85055418 (or 85055409 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221144011400 its reverse (4110441122), we get a palindrome (225254452522).

The spelling of 221144011400 in words is "two hundred twenty-one billion, one hundred forty-four million, eleven thousand, four 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 2600 85055389 170110778 340221556 425276945 680443112 850553890 1105720057 1701107780 2126384725 2211440114 3402215560 4252769450 4422880228 5528600285 8505538900 8845760456 11057200570 17011077800 22114401140 27643001425 44228802280 55286002850 110572005700 221144011400