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2243665199064 = 2331931241658589
BaseRepresentation
bin100000101001100100110…
…111011111111111011000
321221111021212220110212110
4200221210313133333120
5243230011242332224
64434420415512320
7321046054344312
oct40514467377730
97844255813773
102243665199064
11795595570363
12302a06b286a0
13133766093433
147a845c207b2
153d569ac8929
hex20a64ddffd8

2243665199064 has 128 divisors (see below), whose sum is σ = 6120145152000. Its totient is φ = 682824038400.

The previous prime is 2243665199063. The next prime is 2243665199129. The reversal of 2243665199064 is 4609915663422.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 2243665198995 and 2243665199013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243665199063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3077482 + ... + 3736070.

It is an arithmetic number, because the mean of its divisors is an integer number (47813634000).

Almost surely, 22243665199064 is an apocalyptic number.

2243665199064 is a gapful number since it is divisible by the number (24) 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 2243665199064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060072576000).

2243665199064 is an abundant number, since it is smaller than the sum of its proper divisors (3876479952936).

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

2243665199064 is a wasteful number, since it uses less digits than its factorization.

2243665199064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658889 (or 658885 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 2243665199064 in words is "two trillion, two hundred forty-three billion, six hundred sixty-five million, one hundred ninety-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 241 248 372 456 482 589 723 744 964 1178 1446 1767 1928 2356 2892 3534 4579 4712 5784 7068 7471 9158 13737 14136 14942 18316 22413 27474 29884 36632 44826 54948 59768 89652 109896 141949 179304 283898 425847 567796 658589 851694 1135592 1317178 1703388 1975767 2634356 3406776 3951534 5268712 7903068 12513191 15806136 20416259 25026382 37539573 40832518 50052764 61248777 75079146 81665036 100105528 122497554 150158292 158719949 163330072 244995108 300316584 317439898 387908921 476159847 489990216 634879796 775817842 952319694 1163726763 1269759592 1551635684 1904639388 2327453526 3015679031 3103271368 3809278776 4654907052 4920318419 6031358062 9047037093 9309814104 9840636838 12062716124 14760955257 18094074186 19681273676 24125432248 29521910514 36188148372 39362547352 59043821028 72376296744 93486049961 118087642056 186972099922 280458149883 373944199844 560916299766 747888399688 1121832599532 2243665199064