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2240223072 = 25323335657
BaseRepresentation
bin1000010110000111…
…0001011101100000
312210010101010022220
42011201301131200
514041444114242
61010143431040
7106341403413
oct20541613540
95703333286
102240223072
11a4a60282a
125262b5480
132991758a9
1417374bb7a
15d1a14bec
hex85871760

2240223072 has 24 divisors (see below), whose sum is σ = 5880585816. Its totient is φ = 746740992.

The previous prime is 2240223071. The next prime is 2240223103. The reversal of 2240223072 is 2703220422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×22402230722 = 10037198824642234368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240223071) 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 3 ways as a sum of consecutive naturals, for example, 11667733 + ... + 11667924.

It is an arithmetic number, because the mean of its divisors is an integer number (245024409).

Almost surely, 22240223072 is an apocalyptic number.

It is an amenable number.

2240223072 is an abundant number, since it is smaller than the sum of its proper divisors (3640362744).

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

2240223072 is a wasteful number, since it uses less digits than its factorization.

2240223072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23335670 (or 23335662 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 2240223072 is about 47330.9948342521. The cubic root of 2240223072 is about 1308.4699561637.

Adding to 2240223072 its reverse (2703220422), we get a palindrome (4943443494).

The spelling of 2240223072 in words is "two billion, two hundred forty million, two hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 23335657 46671314 70006971 93342628 140013942 186685256 280027884 373370512 560055768 746741024 1120111536 2240223072