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3221400424 = 2311223257563
BaseRepresentation
bin1100000000000010…
…1010101101101000
322022111122002121211
43000000222231220
523044134303144
61251353442504
7142554310654
oct30000525550
98274562554
103221400424
11140343a900
1275aa10434
133c45224c8
14227b99a64
1513cc29034
hexc002ab68

3221400424 has 96 divisors (see below), whose sum is σ = 6967114560. Its totient is φ = 1392680960.

The previous prime is 3221400373. The next prime is 3221400437. The reversal of 3221400424 is 4240041223.

It is a happy number.

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 = 3221400395 and 3221400404.

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 23 ways as a sum of consecutive naturals, for example, 5721567 + ... + 5722129.

It is an arithmetic number, because the mean of its divisors is an integer number (72574110).

Almost surely, 23221400424 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 3221400424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483557280).

3221400424 is an abundant number, since it is smaller than the sum of its proper divisors (3745714136).

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

3221400424 is a wasteful number, since it uses less digits than its factorization.

3221400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3221400424 is about 56757.3821101714. The cubic root of 3221400424 is about 1476.8902967712.

Adding to 3221400424 its reverse (4240041223), we get a palindrome (7461441647).

The spelling of 3221400424 in words is "three billion, two hundred twenty-one million, four hundred thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 257 484 506 514 563 968 1012 1028 1126 2024 2056 2252 2783 2827 4504 5566 5654 5911 6193 11132 11308 11822 12386 12949 22264 22616 23644 24772 25898 31097 47288 49544 51796 62194 65021 68123 103592 124388 130042 136246 142439 144691 248776 260084 272492 284878 289382 520168 544984 569756 578764 715231 1139512 1157528 1430462 1566829 1591601 2860924 3133658 3183202 3327893 5721848 6267316 6366404 6655786 12534632 12732808 13311572 17507611 26623144 35015222 36606823 70030444 73213646 140060888 146427292 292854584 402675053 805350106 1610700212 3221400424