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33230222130312 = 233211873023128621
BaseRepresentation
bin1111000111001000000111…
…00101011111110010001000
311100122210000022112000022100
413203210003211133302020
513323420443331132222
6154401430413553400
76666542611434354
oct743440345376210
9140583008460270
1033230222130312
11a65194909a829
1238882a61a5860
13157079a68865c
1482c4cc0b2464
153c95dad474ac
hex1e390395fc88

33230222130312 has 96 divisors (see below), whose sum is σ = 90104835300480. Its totient is φ = 11063661912960.

The previous prime is 33230222130283. The next prime is 33230222130319. The reversal of 33230222130312 is 21303122203233.

33230222130312 is a `hidden beast` number, since 3 + 32 + 302 + 2 + 2 + 13 + 0 + 312 = 666.

It is a super-2 number, since 2×332302221303122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33230222130319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258293362 + ... + 258421982.

It is an arithmetic number, because the mean of its divisors is an integer number (938592034380).

Almost surely, 233230222130312 is an apocalyptic number.

It is an amenable number.

33230222130312 is an abundant number, since it is smaller than the sum of its proper divisors (56874613170168).

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

33230222130312 is a wasteful number, since it uses less digits than its factorization.

33230222130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132843 (or 132836 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 33230222130312 its reverse (21303122203233), we get a palindrome (54533344333545).

The spelling of 33230222130312 in words is "thirty-three trillion, two hundred thirty billion, two hundred twenty-two million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1187 2374 3023 3561 4748 6046 7122 9069 9496 10683 12092 14244 18138 21366 24184 27207 28488 36276 42732 54414 72552 85464 108828 128621 217656 257242 385863 514484 771726 1028968 1157589 1543452 2315178 3086904 3588301 4630356 7176602 9260712 10764903 14353204 21529806 28706408 32294709 43059612 64589418 86119224 129178836 152673127 258357672 305346254 388821283 458019381 610692508 777642566 916038762 1166463849 1221385016 1374058143 1555285132 1832077524 2332927698 2748116286 3110570264 3499391547 3664155048 4665855396 5496232572 6998783094 9331710792 10992465144 13997566188 27995132376 461530862921 923061725842 1384592588763 1846123451684 2769185177526 3692246903368 4153777766289 5538370355052 8307555532578 11076740710104 16615111065156 33230222130312