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223023233024 = 2111946312379
BaseRepresentation
bin1100111110110100111…
…0000111100000000000
3210022122212120002210122
43033231032013200000
512123222421424044
6250242213515412
722053503126234
oct3175516074000
9708585502718
10223023233024
1186646889a09
1237282042b68
1318053154197
14ab19ada5c4
155c04822dee
hex33ed387800

223023233024 has 96 divisors (see below), whose sum is σ = 470459808000. Its totient is φ = 105405898752.

The previous prime is 223023232997. The next prime is 223023233051. The reversal of 223023233024 is 420332320322.

It is an interprime number because it is at equal distance from previous prime (223023232997) and next prime (223023233051).

It is a junction number, because it is equal to n+sod(n) for n = 223023232984 and 223023233002.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18010067 + ... + 18022445.

It is an arithmetic number, because the mean of its divisors is an integer number (4900623000).

Almost surely, 2223023233024 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 223023233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235229904000).

223023233024 is an abundant number, since it is smaller than the sum of its proper divisors (247436574976).

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

223023233024 is a wasteful number, since it uses less digits than its factorization.

223023233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12883 (or 12863 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 223023233024 its reverse (420332320322), we get a palindrome (643355553346).

The spelling of 223023233024 in words is "two hundred twenty-three billion, twenty-three million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 463 512 608 926 1024 1216 1852 2048 2432 3704 4864 7408 8797 9728 12379 14816 17594 19456 24758 29632 35188 38912 49516 59264 70376 99032 118528 140752 198064 235201 237056 281504 396128 470402 474112 563008 792256 940804 948224 1126016 1584512 1881608 2252032 3169024 3763216 4504064 5731477 6338048 7526432 9008128 11462954 12676096 15052864 18016256 22925908 25352192 30105728 45851816 60211456 91703632 108898063 120422912 183407264 217796126 240845824 366814528 435592252 481691648 733629056 871184504 1467258112 1742369008 2934516224 3484738016 5869032448 6969476032 11738064896 13938952064 27877904128 55755808256 111511616512 223023233024