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23221231000 = 2353112191911
BaseRepresentation
bin10101101000000101…
…111101110110011000
32012221022211202110121
4111220011331312120
5340024113343000
614400115323024
71451305130632
oct255005756630
965838752417
1023221231000
119936863600
1246008b0474
132260b6ac96
1411a4039a52
1590d95eb1a
hex56817dd98

23221231000 has 96 divisors (see below), whose sum is σ = 59726852640. Its totient is φ = 8444040000.

The previous prime is 23221230983. The next prime is 23221231009. The reversal of 23221231000 is 13212232.

It is a super-2 number, since 2×232212310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23221231009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25045 + ... + 216955.

It is an arithmetic number, because the mean of its divisors is an integer number (622154715).

Almost surely, 223221231000 is an apocalyptic number.

23221231000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23221231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29863426320).

23221231000 is an abundant number, since it is smaller than the sum of its proper divisors (36505621640).

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

23221231000 is a wasteful number, since it uses less digits than its factorization.

23221231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191954 (or 191929 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23221231000 its reverse (13212232), we get a palindrome (23234443232).

The spelling of 23221231000 in words is "twenty-three billion, two hundred twenty-one million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 191911 383822 767644 959555 1535288 1919110 2111021 3838220 4222042 4797775 7676440 8444084 9595550 10555105 16888168 19191100 21110210 23221231 23988875 38382200 42220420 46442462 47977750 52775525 84440840 92884924 95955500 105551050 116106155 185769848 191911000 211102100 232212310 263877625 422204200 464424620 527755250 580530775 928849240 1055510500 1161061550 2111021000 2322123100 2902653875 4644246200 5805307750 11610615500 23221231000