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22281123072 = 2831319731609
BaseRepresentation
bin10100110000000011…
…101111010100000000
32010111210212022211110
4110300003233110000
5331112431414242
614122533443320
71416101264325
oct246003572400
963453768743
1022281123072
1194a41275aa
124399aa0540
1321411708c0
14111523cb4c
158a615e39c
hex5300ef500

22281123072 has 288 divisors, whose sum is σ = 68186204800. Its totient is φ = 6401949696.

The previous prime is 22281123061. The next prime is 22281123077. The reversal of 22281123072 is 27032118222.

It is a super-2 number, since 2×222811230722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22281123077) 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, 13847004 + ... + 13848612.

Almost surely, 222281123072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22281123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34093102400).

22281123072 is an abundant number, since it is smaller than the sum of its proper divisors (45905081728).

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

22281123072 is a wasteful number, since it uses less digits than its factorization.

22281123072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 22281123072 in words is "twenty-two billion, two hundred eighty-one million, one hundred twenty-three thousand, seventy-two".