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21233323240 = 2352929362473
BaseRepresentation
bin10011110001100110…
…101100110011101000
32000210210020120200021
4103301212230303220
5321441212320430
613430543450224
71351116161323
oct236146546350
960723216607
1021233323240
119006726028
124146bb6974
1320050688bc
14105600b7ba
1584418a07a
hex4f19acce8

21233323240 has 64 divisors (see below), whose sum is σ = 49591861200. Its totient is φ = 8172337152.

The previous prime is 21233323231. The next prime is 21233323249. The reversal of 21233323240 is 4232333212.

It is an interprime number because it is at equal distance from previous prime (21233323231) and next prime (21233323249).

It can be written as a sum of positive squares in 8 ways, for example, as 15297237124 + 5936086116 = 123682^2 + 77046^2 .

It is not an unprimeable number, because it can be changed into a prime (21233323249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308644 + ... + 371116.

Almost surely, 221233323240 is an apocalyptic number.

21233323240 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 21233323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24795930600).

21233323240 is an abundant number, since it is smaller than the sum of its proper divisors (28358537960).

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

21233323240 is a wasteful number, since it uses less digits than its factorization.

21233323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62806 (or 62802 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 21233323240 its reverse (4232333212), we get a palindrome (25465656452).

The spelling of 21233323240 in words is "twenty-one billion, two hundred thirty-three million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 293 580 586 1160 1172 1465 2344 2930 5860 8497 11720 16994 33988 42485 62473 67976 84970 124946 169940 249892 312365 339880 499784 624730 1249460 1811717 2498920 3623434 7246868 9058585 14493736 18117170 18304589 36234340 36609178 72468680 73218356 91522945 146436712 183045890 366091780 530833081 732183560 1061666162 2123332324 2654165405 4246664648 5308330810 10616661620 21233323240