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223775078016 = 2737228136497
BaseRepresentation
bin1101000001101000001…
…0001011011010000000
3210101121021021210020110
43100122002023122000
512131242404444031
6250444552311320
722111232531160
oct3203202133200
9711537253213
10223775078016
11869a221a206
12374519a2540
1318142b46689
14ab8b8cc5a0
155c4a836c46
hex341a08b680

223775078016 has 128 divisors (see below), whose sum is σ = 679633637760. Its totient is φ = 63905955840.

The previous prime is 223775077969. The next prime is 223775078017. The reversal of 223775078016 is 610870577322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (223775078017) 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 15 ways as a sum of consecutive naturals, for example, 6113080 + ... + 6149576.

It is an arithmetic number, because the mean of its divisors is an integer number (5309637795).

Almost surely, 2223775078016 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 223775078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339816818880).

223775078016 is an abundant number, since it is smaller than the sum of its proper divisors (455858559744).

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

223775078016 is a wasteful number, since it uses less digits than its factorization.

223775078016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38802 (or 38790 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 223775078016 in words is "two hundred twenty-three billion, seven hundred seventy-five million, seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2281 2688 4562 6843 9124 13686 15967 18248 27372 31934 36496 36497 47901 54744 63868 72992 72994 95802 109488 109491 127736 145984 145988 191604 218976 218982 255472 255479 291968 291976 383208 437952 437964 510944 510958 583952 766416 766437 875904 875928 1021888 1021916 1167904 1532832 1532874 1751856 2043776 2043832 2335808 3065664 3065748 3503712 4087664 4671616 6131328 6131496 7007424 8175328 12262992 14014848 16350656 24525984 32701312 49051968 83249657 98103936 166499314 249748971 332998628 499497942 582747599 665997256 998995884 1165495198 1331994512 1748242797 1997991768 2330990396 2663989024 3496485594 3995983536 4661980792 5327978048 6992971188 7991967072 9323961584 10655956096 13985942376 15983934144 18647923168 27971884752 31967868288 37295846336 55943769504 74591692672 111887539008 223775078016