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3222421312 = 261116727409
BaseRepresentation
bin1100000000010010…
…0011111101000000
322022120112222000111
43000010203331000
523044414440222
61251431401104
7142566062215
oct30004437500
98276488014
103222421312
111403a77910
1275b223194
133c47bc096
14227d83b0c
1513cd7b777
hexc0123f40

3222421312 has 56 divisors (see below), whose sum is σ = 7017837120. Its totient is φ = 1455912960.

The previous prime is 3222421303. The next prime is 3222421343. The reversal of 3222421312 is 2131242223.

It is a super-2 number, since 2×32224213122 = 20767998224063602688, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 103864 + ... + 131272.

It is an arithmetic number, because the mean of its divisors is an integer number (125318520).

Almost surely, 23222421312 is an apocalyptic number.

3222421312 is a gapful number since it is divisible by the number (32) 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 3222421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508918560).

3222421312 is an abundant number, since it is smaller than the sum of its proper divisors (3795415808).

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

3222421312 is a wasteful number, since it uses less digits than its factorization.

3222421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27599 (or 27589 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 3222421312 is about 56766.3748358128. The cubic root of 3222421312 is about 1477.0462931433.

Adding to 3222421312 its reverse (2131242223), we get a palindrome (5353663535).

Subtracting from 3222421312 its reverse (2131242223), we obtain a square (1091179089 = 330332).

The spelling of 3222421312 in words is "three billion, two hundred twenty-two million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 167 176 334 352 668 704 1336 1837 2672 3674 5344 7348 10688 14696 27409 29392 54818 58784 109636 117568 219272 301499 438544 602998 877088 1205996 1754176 2411992 4577303 4823984 9154606 9647968 18309212 19295936 36618424 50350333 73236848 100700666 146473696 201401332 292947392 402802664 805605328 1611210656 3222421312