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221002144 = 2511257077
BaseRepresentation
bin11010010110000…
…11100110100000
3120101212001221121
431023003212200
5423034032034
633532502024
75322326056
oct1513034640
9511761847
10221002144
11103828200
126201a914
1336a2b8cc
14214cc1d6
15146071b4
hexd2c39a0

221002144 has 36 divisors (see below), whose sum is σ = 478256562. Its totient is φ = 100453760.

The previous prime is 221002121. The next prime is 221002151. The reversal of 221002144 is 441200122.

It can be written as a sum of positive squares in only one way, i.e., 207014544 + 13987600 = 14388^2 + 3740^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24667 + ... + 32410.

Almost surely, 2221002144 is an apocalyptic number.

It is an amenable number.

221002144 is an abundant number, since it is smaller than the sum of its proper divisors (257254418).

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

221002144 is a wasteful number, since it uses less digits than its factorization.

221002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57109 (or 57090 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 221002144 is about 14866.1408576671. The cubic root of 221002144 is about 604.5963147236.

Adding to 221002144 its reverse (441200122), we get a palindrome (662202266).

The spelling of 221002144 in words is "two hundred twenty-one million, two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 57077 114154 228308 456616 627847 913232 1255694 1826464 2511388 5022776 6906317 10045552 13812634 20091104 27625268 55250536 110501072 221002144