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5221220224 = 271147257307
BaseRepresentation
bin1001101110011010…
…10111111110000000
3111110212122110122211
410313031113332000
541143113021344
62222032511504
7243246432253
oct46715277600
914425573584
105221220224
11223a274040
1210186ab594
1365293582c
1437760909a
152085a3334
hex137357f80

5221220224 has 128 divisors (see below), whose sum is σ = 11671672320. Its totient is φ = 2306211840.

The previous prime is 5221220203. The next prime is 5221220231. The reversal of 5221220224 is 4220221225.

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

It is a super-2 number, since 2×52212202242 = 54522281255013220352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 5221220195 and 5221220204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17007079 + ... + 17007385.

It is an arithmetic number, because the mean of its divisors is an integer number (91184940).

Almost surely, 25221220224 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 5221220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835836160).

5221220224 is an abundant number, since it is smaller than the sum of its proper divisors (6450452096).

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

5221220224 is a wasteful number, since it uses less digits than its factorization.

5221220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 5221220224 is about 72258.0114866165. The cubic root of 5221220224 is about 1734.8316517303.

Adding to 5221220224 its reverse (4220221225), we get a palindrome (9441441449).

The spelling of 5221220224 in words is "five billion, two hundred twenty-one million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 257 307 352 376 514 517 614 704 752 1028 1034 1228 1408 1504 2056 2068 2456 2827 3008 3377 4112 4136 4912 5654 6016 6754 8224 8272 9824 11308 12079 13508 14429 16448 16544 19648 22616 24158 27016 28858 32896 33088 39296 45232 48316 54032 57716 66176 78899 90464 96632 108064 115432 132869 157798 158719 180928 193264 216128 230864 265738 315596 317438 361856 386528 432256 461728 531476 631192 634876 773056 867889 923456 1062952 1262384 1269752 1546112 1735778 1846912 2125904 2524768 2539504 3471556 3708253 4251808 5049536 5079008 6943112 7416506 8503616 10099072 10158016 13886224 14833012 17007232 20316032 27772448 29666024 40790783 55544896 59332048 81581566 111089792 118664096 163163132 237328192 326326264 474656384 652652528 1305305056 2610610112 5221220224