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2234681001 = 33720035903
BaseRepresentation
bin1000010100110010…
…1000011010101001
312202201221120001000
42011030220122221
514034034243001
61005424545213
7106243321650
oct20514503251
95681846030
102234681001
11a47467a03
12524482209
13297c85167
14172b08197
15d12bca86
hex853286a9

2234681001 has 32 divisors (see below), whose sum is σ = 3786117120. Its totient is φ = 1276106832.

The previous prime is 2234680999. The next prime is 2234681003. The reversal of 2234681001 is 1001864322.

It is an interprime number because it is at equal distance from previous prime (2234680999) and next prime (2234681003).

It is not a de Polignac number, because 2234681001 - 21 = 2234680999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2234681003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375616 + ... + 381518.

It is an arithmetic number, because the mean of its divisors is an integer number (118316160).

Almost surely, 22234681001 is an apocalyptic number.

2234681001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2234681001 is a deficient number, since it is larger than the sum of its proper divisors (1551436119).

2234681001 is a wasteful number, since it uses less digits than its factorization.

2234681001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2234681001 is about 47272.4126843553. The cubic root of 2234681001 is about 1307.3900604989.

The spelling of 2234681001 in words is "two billion, two hundred thirty-four million, six hundred eighty-one thousand, one".

Divisors: 1 3 7 9 21 27 63 189 2003 5903 6009 14021 17709 18027 41321 42063 53127 54081 123963 126189 159381 371889 378567 1115667 11823709 35471127 82765963 106413381 248297889 319240143 744893667 2234681001