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2221000032 = 25329797773
BaseRepresentation
bin1000010001100001…
…1100010101100000
312201210012111021110
42010120130111200
514022034000112
61004215423320
7106016121516
oct20430342540
95653174243
102221000032
11a3a773219
1251b984b40
132951a5004
14170d864b6
15ceeb913c
hex8461c560

2221000032 has 48 divisors (see below), whose sum is σ = 6031171440. Its totient is φ = 714803712.

The previous prime is 2220999997. The next prime is 2221000043. The reversal of 2221000032 is 2300001222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22210000322 = 9865682284288002048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2220999981 and 2221000017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396103 + ... + 401670.

It is an arithmetic number, because the mean of its divisors is an integer number (125649405).

Almost surely, 22221000032 is an apocalyptic number.

It is an amenable number.

2221000032 is an abundant number, since it is smaller than the sum of its proper divisors (3810171408).

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

2221000032 is a wasteful number, since it uses less digits than its factorization.

2221000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797815 (or 797807 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2221000032 is about 47127.4870112973. The cubic root of 2221000032 is about 1304.7166008699.

Adding to 2221000032 its reverse (2300001222), we get a palindrome (4521001254).

The spelling of 2221000032 in words is "two billion, two hundred twenty-one million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 797773 1595546 2393319 3191092 4786638 6382184 9573276 12764368 19146552 23135417 25528736 38293104 46270834 69406251 76586208 92541668 138812502 185083336 277625004 370166672 555250008 740333344 1110500016 2221000032