Search a number
-
+
3221212032 = 27327193889
BaseRepresentation
bin1011111111111111…
…1100101110000000
322022111021112012100
42333333330232000
523044112241112
61251345430400
7142552564503
oct27777745600
98274245170
103221212032
111403321305
1275a93b400
133c448782c
14227b4b13a
1513cbdd2dc
hexbfffcb80

3221212032 has 96 divisors (see below), whose sum is σ = 9284652000. Its totient is φ = 1071968256.

The previous prime is 3221212019. The next prime is 3221212039. The reversal of 3221212032 is 2302121223.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3221211996 and 3221212014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221212039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826344 + ... + 830232.

It is an arithmetic number, because the mean of its divisors is an integer number (96715125).

Almost surely, 23221212032 is an apocalyptic number.

3221212032 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 3221212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642326000).

3221212032 is an abundant number, since it is smaller than the sum of its proper divisors (6063439968).

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

3221212032 is a wasteful number, since it uses less digits than its factorization.

3221212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3221212032 is about 56755.7224603828. The cubic root of 3221212032 is about 1476.8615060069.

Adding to 3221212032 its reverse (2302121223), we get a palindrome (5523333255).

It can be divided in two parts, 32212 and 12032, that added together give a palindrome (44244).

The spelling of 3221212032 in words is "three billion, two hundred twenty-one million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 719 1152 1438 2157 2876 3889 4314 5752 6471 7778 8628 11504 11667 12942 15556 17256 23008 23334 25884 31112 34512 35001 46016 46668 51768 62224 69024 70002 92032 93336 103536 124448 138048 140004 186672 207072 248896 276096 280008 373344 414144 497792 560016 746688 828288 1120032 1493376 2240064 2796191 4480128 5592382 8388573 11184764 16777146 22369528 25165719 33554292 44739056 50331438 67108584 89478112 100662876 134217168 178956224 201325752 268434336 357912448 402651504 536868672 805303008 1073737344 1610606016 3221212032