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21222848 = 261931563
BaseRepresentation
bin101000011110…
…1010111000000
31110221020021102
41100331113000
520413112343
62034513532
7345251123
oct120752700
943836242
1021222848
1110a86049
1271358a8
134520bca
142b663ba
151ce33b8
hex143d5c0

21222848 has 56 divisors (see below), whose sum is σ = 45841920. Its totient is φ = 9711360.

The previous prime is 21222847. The next prime is 21222913. The reversal of 21222848 is 84822212.

It is a super-2 number, since 2×212228482 = 900818554462208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21222848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37415 + ... + 37977.

Almost surely, 221222848 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 21222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22920960).

21222848 is an abundant number, since it is smaller than the sum of its proper divisors (24619072).

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

21222848 is a wasteful number, since it uses less digits than its factorization.

21222848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its digits is 4096, while the sum is 29.

The square root of 21222848 is about 4606.8262393974. The cubic root of 21222848 is about 276.8648917323.

The spelling of 21222848 in words is "twenty-one million, two hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 152 248 304 496 563 589 608 992 1126 1178 1216 1984 2252 2356 4504 4712 9008 9424 10697 17453 18016 18848 21394 34906 36032 37696 42788 69812 85576 139624 171152 279248 331607 342304 558496 663214 684608 1116992 1326428 2652856 5305712 10611424 21222848