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4220243456 = 29111357641
BaseRepresentation
bin1111101110001011…
…1100111000000000
3101220010010120200012
43323202330320000
532120340242311
61534434244052
7206403322532
oct37342747000
911803116605
104220243456
111876243410
12999426628
13523445ba0
142c06c5852
1519a77c78b
hexfb8bce00

4220243456 has 80 divisors (see below), whose sum is σ = 9906584688. Its totient is φ = 1770700800.

The previous prime is 4220243429. The next prime is 4220243477. The reversal of 4220243456 is 6543420224.

It is a happy number.

4220243456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44396 + ... + 102036.

Almost surely, 24220243456 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 4220243456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953292344).

4220243456 is an abundant number, since it is smaller than the sum of its proper divisors (5686341232).

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

4220243456 is a wasteful number, since it uses less digits than its factorization.

4220243456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57683 (or 57667 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 4220243456 is about 64963.4008961969. The cubic root of 4220243456 is about 1616.0166648610.

It can be divided in two parts, 42202 and 43456, that added together give a palindrome (85658).

The spelling of 4220243456 in words is "four billion, two hundred twenty million, two hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 572 704 832 1144 1408 1664 2288 2816 3328 4576 5632 6656 9152 18304 36608 57641 73216 115282 230564 461128 634051 749333 922256 1268102 1498666 1844512 2536204 2997332 3689024 5072408 5994664 7378048 8242663 10144816 11989328 14756096 16485326 20289632 23978656 29512192 32970652 40579264 47957312 65941304 81158528 95914624 131882608 162317056 191829248 263765216 324634112 383658496 527530432 1055060864 2110121728 4220243456