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22250011331 = 2331163191449
BaseRepresentation
bin10100101110001101…
…000011101011000011
32010102122022200112202
4110232031003223003
5331032000330311
614115502543415
71415242655462
oct245615035303
963378280482
1022250011331
119488607919
12438b597b6b
1321378998a2
1411110609d9
158a3565e3b
hex52e343ac3

22250011331 has 16 divisors (see below), whose sum is σ = 24113510400. Its totient is φ = 20469620160.

The previous prime is 22250011321. The next prime is 22250011361. The reversal of 22250011331 is 13311005222.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22250011331 is a prime.

It is a super-3 number, since 3×222500113313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22250011321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20495 + ... + 211943.

It is an arithmetic number, because the mean of its divisors is an integer number (1507094400).

Almost surely, 222250011331 is an apocalyptic number.

22250011331 is a deficient number, since it is larger than the sum of its proper divisors (1863499069).

22250011331 is a wasteful number, since it uses less digits than its factorization.

22250011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191666.

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 22250011331 its reverse (13311005222), we get a palindrome (35561016553).

The spelling of 22250011331 in words is "twenty-two billion, two hundred fifty million, eleven thousand, three hundred thirty-one".

Divisors: 1 23 31 163 713 3749 5053 116219 191449 4403327 5934919 31206187 136503137 717742301 967391797 22250011331