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244300100022 = 232113740981533
BaseRepresentation
bin1110001110000101101…
…0111011000110110110
3212100120200201221021200
43203201122323012312
513000311311200042
6304121354553330
723435661405366
oct3434132730666
9770520657250
10244300100022
1194675046010
123b41b738846
131a064227604
14bb778009a6
15654c70ec4c
hex38e16bb1b6

244300100022 has 96 divisors (see below), whose sum is σ = 594500268960. Its totient is φ = 71852520960.

The previous prime is 244300100021. The next prime is 244300100087. The reversal of 244300100022 is 220001003442.

244300100022 is a `hidden beast` number, since 244 + 300 + 100 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 244300099968 and 244300100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244300100021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2955568 + ... + 3037100.

It is an arithmetic number, because the mean of its divisors is an integer number (6192711135).

Almost surely, 2244300100022 is an apocalyptic number.

244300100022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 244300100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297250134480).

244300100022 is an abundant number, since it is smaller than the sum of its proper divisors (350200168938).

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

244300100022 is a wasteful number, since it uses less digits than its factorization.

244300100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81998 (or 81995 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 244300100022 its reverse (220001003442), we get a palindrome (464301103464).

The spelling of 244300100022 in words is "two hundred forty-four billion, three hundred million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 409 666 814 818 1221 1227 2442 2454 3663 3681 4499 7326 7362 8998 13497 15133 26994 30266 40491 45399 80982 81533 90798 136197 163066 166463 244599 272394 332926 489198 499389 733797 896863 998778 1467594 1498167 1793726 2690589 2996334 3016721 5381178 6033442 8071767 9050163 16143534 18100326 27150489 33183931 33346997 54300978 66367862 66693994 99551793 100040991 199103586 200081982 298655379 300122973 366816967 597310758 600245946 733633934 1100450901 1233838889 2200901802 2467677778 3301352703 3701516667 6602705406 7403033334 11104550001 13572227779 22209100002 27144455558 40716683337 81433366674 122150050011 244300100022