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3223533040 = 245713234061
BaseRepresentation
bin1100000000100011…
…0011010111110000
322022122122110000121
43000020303113300
523100211024130
61251511300024
7142611402340
oct30010632760
98278573017
103223533040
1114046670a2
1275b67a614
133c4abb100
14228192d20
1513ceead7a
hexc02335f0

3223533040 has 120 divisors (see below), whose sum is σ = 9275218848. Its totient is φ = 1020165120.

The previous prime is 3223533029. The next prime is 3223533041. The reversal of 3223533040 is 403353223.

It is a junction number, because it is equal to n+sod(n) for n = 3223532996 and 3223533014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223533041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77610 + ... + 111670.

Almost surely, 23223533040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637609424).

3223533040 is an abundant number, since it is smaller than the sum of its proper divisors (6051685808).

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

3223533040 is a wasteful number, since it uses less digits than its factorization.

3223533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34107 (or 34088 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

The square root of 3223533040 is about 56776.1661262893. The cubic root of 3223533040 is about 1477.2161328137.

Adding to 3223533040 its reverse (403353223), we get a palindrome (3626886263).

The spelling of 3223533040 in words is "three billion, two hundred twenty-three million, five hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 169 182 208 260 280 338 364 455 520 560 676 728 845 910 1040 1183 1352 1456 1690 1820 2366 2704 3380 3640 4732 5915 6760 7280 9464 11830 13520 18928 23660 34061 47320 68122 94640 136244 170305 238427 272488 340610 442793 476854 544976 681220 885586 953708 1192135 1362440 1771172 1907416 2213965 2384270 2724880 3099551 3542344 3814832 4427930 4768540 5756309 6199102 7084688 8855860 9537080 11512618 12398204 15497755 17711720 19074160 23025236 24796408 28781545 30995510 35423440 40294163 46050472 49592816 57563090 61991020 80588326 92100944 115126180 123982040 161176652 201470815 230252360 247964080 322353304 402941630 460504720 644706608 805883260 1611766520 3223533040