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21232331440 = 2452919347419
BaseRepresentation
bin10011110001100010…
…111010101010110000
32000210201101012011221
4103301202322222300
5321440434101230
613430510314424
71351104560635
oct236142725260
960721335157
1021232331440
119006108961
1241467b8a14
132004aac338
141055c3018c
1584404127a
hex4f18baab0

21232331440 has 80 divisors (see below), whose sum is σ = 51333098400. Its totient is φ = 8157413376.

The previous prime is 21232331383. The next prime is 21232331447. The reversal of 21232331440 is 4413323212.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21232331447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424051 + ... + 471469.

It is an arithmetic number, because the mean of its divisors is an integer number (641663730).

Almost surely, 221232331440 is an apocalyptic number.

21232331440 is a gapful number since it is divisible by the number (20) 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 21232331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25666549200).

21232331440 is an abundant number, since it is smaller than the sum of its proper divisors (30100766960).

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

21232331440 is a wasteful number, since it uses less digits than its factorization.

21232331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47654 (or 47648 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 21232331440 its reverse (4413323212), we get a palindrome (25645654652).

The spelling of 21232331440 in words is "twenty-one billion, two hundred thirty-two million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 193 232 290 386 464 580 772 965 1160 1544 1930 2320 3088 3860 5597 7720 11194 15440 22388 27985 44776 47419 55970 89552 94838 111940 189676 223880 237095 379352 447760 474190 758704 948380 1375151 1896760 2750302 3793520 5500604 6875755 9151867 11001208 13751510 18303734 22002416 27503020 36607468 45759335 55006040 73214936 91518670 110012080 146429872 183037340 265404143 366074680 530808286 732149360 1061616572 1327020715 2123233144 2654041430 4246466288 5308082860 10616165720 21232331440