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4220056544 = 251173916223
BaseRepresentation
bin1111101110001000…
…1111001111100000
3101220002210002021112
43323202033033200
532120313302134
61534430242452
7206401613564
oct37342171740
911802702245
104220056544
111876125a40
12999356428
135233abaa2
142c06776a4
1519a7421ce
hexfb88f3e0

4220056544 has 48 divisors (see below), whose sum is σ = 9076354560. Its totient is φ = 1915493760.

The previous prime is 4220056531. The next prime is 4220056601. The reversal of 4220056544 is 4456500224.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4220056544.

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, 252017 + ... + 268239.

It is an arithmetic number, because the mean of its divisors is an integer number (189090720).

Almost surely, 24220056544 is an apocalyptic number.

4220056544 is a gapful number since it is divisible by the number (44) 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 4220056544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538177280).

4220056544 is an abundant number, since it is smaller than the sum of its proper divisors (4856298016).

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

4220056544 is a wasteful number, since it uses less digits than its factorization.

4220056544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16983 (or 16975 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 4220056544 is about 64961.9622856330. The cubic root of 4220056544 is about 1615.9928070457.

Adding to 4220056544 its reverse (4456500224), we get a palindrome (8676556768).

The spelling of 4220056544 in words is "four billion, two hundred twenty million, fifty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 739 1478 2956 5912 8129 11824 16223 16258 23648 32446 32516 64892 65032 129784 130064 178453 259568 260128 356906 519136 713812 1427624 2855248 5710496 11988797 23977594 47955188 95910376 131876767 191820752 263753534 383641504 527507068 1055014136 2110028272 4220056544