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1993644224 = 261113317027
BaseRepresentation
bin111011011010100…
…1001100011000000
312010221101121201222
41312311021203000
513040333103344
6525454414212
7100255460555
oct16665114300
95127347658
101993644224
119333a6460
12477801368
1325a060450
1414cac2a2c
15ba0595ee
hex76d498c0

1993644224 has 112 divisors (see below), whose sum is σ = 4798381056. Its totient is φ = 809395200.

The previous prime is 1993644203. The next prime is 1993644227. The reversal of 1993644224 is 4224463991.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a cake number, because a cake can be divided into 1993644224 parts by 2287 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (1993644227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280199 + ... + 287225.

It is an arithmetic number, because the mean of its divisors is an integer number (42842688).

Almost surely, 21993644224 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 1993644224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399190528).

1993644224 is an abundant number, since it is smaller than the sum of its proper divisors (2804736832).

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

1993644224 is a wasteful number, since it uses less digits than its factorization.

1993644224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 7084 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 1993644224 is about 44650.2432692141. The cubic root of 1993644224 is about 1258.5850042976.

The spelling of 1993644224 in words is "one billion, nine hundred ninety-three million, six hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 64 88 104 124 143 176 208 248 286 341 352 403 416 496 572 682 704 806 832 992 1144 1364 1612 1984 2288 2728 3224 4433 4576 5456 6448 7027 8866 9152 10912 12896 14054 17732 21824 25792 28108 35464 56216 70928 77297 91351 112432 141856 154594 182702 217837 224864 283712 309188 365404 435674 449728 618376 730808 871348 1004861 1236752 1461616 1742696 2009722 2396207 2473504 2831881 2923232 3485392 4019444 4792414 4947008 5663762 5846464 6970784 8038888 9584828 11327524 13941568 16077776 19169656 22655048 31150691 32155552 38339312 45310096 62301382 64311104 76678624 90620192 124602764 153357248 181240384 249205528 498411056 996822112 1993644224