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2232063040 = 26589181433
BaseRepresentation
bin1000010100001010…
…1001010001000000
312202120000112212111
42011002221101000
514032402004130
61005252505104
7106212136264
oct20502512100
95676015774
102232063040
11a45a39aa9
1252361b194
1329757967c
141726260a4
15d0e5202a
hex850a9440

2232063040 has 112 divisors (see below), whose sum is σ = 5416997040. Its totient is φ = 875888640.

The previous prime is 2232062977. The next prime is 2232063089. The reversal of 2232063040 is 403602322.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1146228736 + 1085834304 = 33856^2 + 32952^2 .

It is a super-3 number, since 3×22320630403 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5154664 + ... + 5155096.

It is an arithmetic number, because the mean of its divisors is an integer number (48366045).

Almost surely, 22232063040 is an apocalyptic number.

2232063040 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 2232063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708498520).

2232063040 is an abundant number, since it is smaller than the sum of its proper divisors (3184934000).

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

2232063040 is a wasteful number, since it uses less digits than its factorization.

2232063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2232063040 is about 47244.7144133606. The cubic root of 2232063040 is about 1306.8793189003.

Adding to 2232063040 its reverse (403602322), we get a palindrome (2635665362).

The spelling of 2232063040 in words is "two billion, two hundred thirty-two million, sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 181 320 356 362 433 445 712 724 866 890 905 1424 1448 1732 1780 1810 2165 2848 2896 3464 3560 3620 4330 5696 5792 6928 7120 7240 8660 11584 13856 14240 14480 16109 17320 27712 28480 28960 32218 34640 38537 57920 64436 69280 77074 78373 80545 128872 138560 154148 156746 161090 192685 257744 308296 313492 322180 385370 391865 515488 616592 626984 644360 770740 783730 1030976 1233184 1253968 1288720 1541480 1567460 2466368 2507936 2577440 3082960 3134920 5015872 5154880 6165920 6269840 6975197 12331840 12539680 13950394 25079360 27900788 34875985 55801576 69751970 111603152 139503940 223206304 279007880 446412608 558015760 1116031520 2232063040