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21532233540 = 22356720532609
BaseRepresentation
bin10100000011011010…
…111100111101000100
32001120121200210112010
4110003122330331010
5323044222433130
613520342254220
71361405652036
oct240332747504
961517623463
1021532233540
11914a425834
12420b127370
132051c746bc
1410839b9c56
158605310b0
hex5036bcf44

21532233540 has 96 divisors (see below), whose sum is σ = 61243378560. Its totient is φ = 5651306496.

The previous prime is 21532233539. The next prime is 21532233571. The reversal of 21532233540 is 4533223512.

It is a super-2 number, since 2×215322335402 (a number of 21 digits) contains 22 as substring.

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 = 21532233498 and 21532233507.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8251756 + ... + 8254364.

It is an arithmetic number, because the mean of its divisors is an integer number (637951860).

Almost surely, 221532233540 is an apocalyptic number.

21532233540 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 21532233540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30621689280).

21532233540 is an abundant number, since it is smaller than the sum of its proper divisors (39711145020).

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

21532233540 is a wasteful number, since it uses less digits than its factorization.

21532233540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 21532233540 in words is "twenty-one billion, five hundred thirty-two million, two hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 2053 2609 4020 4106 5218 6159 7827 8212 10265 10436 12318 13045 15654 20530 24636 26090 30795 31308 39135 41060 52180 61590 78270 123180 137551 156540 174803 275102 349606 412653 524409 550204 687755 699212 825306 874015 1048818 1375510 1650612 1748030 2063265 2097636 2622045 2751020 3496060 4126530 5244090 5356277 8253060 10488180 10712554 16068831 21425108 26781385 32137662 53562770 64275324 80344155 107125540 160688310 321376620 358870559 717741118 1076611677 1435482236 1794352795 2153223354 3588705590 4306446708 5383058385 7177411180 10766116770 21532233540