Search a number
-
+
3223255440 = 243513430231
BaseRepresentation
bin1100000000011110…
…1111100110010000
322022122010100020010
43000013233212100
523100123133230
61251501314520
7142606135116
oct30007574620
98278110203
103223255440
111404497579
1275b565a40
133c4a21952
1422811dab6
1513ce939b0
hexc01ef990

3223255440 has 40 divisors (see below), whose sum is σ = 9992092608. Its totient is φ = 859534720.

The previous prime is 3223255339. The next prime is 3223255457. The reversal of 3223255440 is 445523223.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3223255398 and 3223255407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6714876 + ... + 6715355.

Almost surely, 23223255440 is an apocalyptic number.

3223255440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3223255440 is an abundant number, since it is smaller than the sum of its proper divisors (6768837168).

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

3223255440 is a wasteful number, since it uses less digits than its factorization.

3223255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13430247 (or 13430241 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 3223255440 is about 56773.7213858665. The cubic root of 3223255440 is about 1477.1737272745.

Adding to 3223255440 its reverse (445523223), we get a palindrome (3668778663).

The spelling of 3223255440 in words is "three billion, two hundred twenty-three million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 13430231 26860462 40290693 53720924 67151155 80581386 107441848 134302310 161162772 201453465 214883696 268604620 322325544 402906930 537209240 644651088 805813860 1074418480 1611627720 3223255440