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221020322000 = 2453110510161
BaseRepresentation
bin1100110111010111010…
…1100111100011010000
3210010111021201200101212
43031311311213203100
512110122200301000
6245311344315252
721653042511422
oct3156565474320
9703437650355
10221020322000
1185809234245
1236a03312b28
1317ac41cab2a
14a9a9ac4812
155b38a87c35
hex3375d678d0

221020322000 has 40 divisors (see below), whose sum is σ = 534427143432. Its totient is φ = 88408128000.

The previous prime is 221020321997. The next prime is 221020322011. The reversal of 221020322000 is 223020122.

It can be written as a sum of positive squares in 4 ways, for example, as 18026821696 + 202993500304 = 134264^2 + 450548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55253081 + ... + 55257080.

Almost surely, 2221020322000 is an apocalyptic number.

221020322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020322000 is an abundant number, since it is smaller than the sum of its proper divisors (313406821432).

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

221020322000 is a wasteful number, since it uses less digits than its factorization.

221020322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110510184 (or 110510168 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 221020322000 its reverse (223020122), we get a palindrome (221243342122).

The spelling of 221020322000 in words is "two hundred twenty-one billion, twenty million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 110510161 221020322 442040644 552550805 884081288 1105101610 1768162576 2210203220 2762754025 4420406440 5525508050 8840812880 11051016100 13813770125 22102032200 27627540250 44204064400 55255080500 110510161000 221020322000