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22001333232 = 2438311348871
BaseRepresentation
bin10100011111011000…
…011011001111110000
32002210022101112022210
4110133120123033300
5330024320130412
614035100532120
71406133150444
oct243730331760
962708345283
1022001333232
1193701a732a
124320251040
1320c81caa98
1410ca00a824
1588b7e383c
hex51f61b3f0

22001333232 has 80 divisors (see below), whose sum is σ = 58031785728. Its totient is φ = 7181153280.

The previous prime is 22001333213. The next prime is 22001333251. The reversal of 22001333232 is 23233310022.

It is an interprime number because it is at equal distance from previous prime (22001333213) and next prime (22001333251).

It is a junction number, because it is equal to n+sod(n) for n = 22001333199 and 22001333208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425757 + ... + 474627.

Almost surely, 222001333232 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 22001333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29015892864).

22001333232 is an abundant number, since it is smaller than the sum of its proper divisors (36030452496).

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

22001333232 is a wasteful number, since it uses less digits than its factorization.

22001333232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49078 (or 49072 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 22001333232 its reverse (23233310022), we get a palindrome (45234643254).

The spelling of 22001333232 in words is "twenty-two billion, one million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 113 166 226 249 332 339 452 498 664 678 904 996 1328 1356 1808 1992 2712 3984 5424 9379 18758 28137 37516 48871 56274 75032 97742 112548 146613 150064 195484 225096 293226 390968 450192 586452 781936 1172904 2345808 4056293 5522423 8112586 11044846 12168879 16225172 16567269 22089692 24337758 32450344 33134538 44179384 48675516 64900688 66269076 88358768 97351032 132538152 194702064 265076304 458361109 916722218 1375083327 1833444436 2750166654 3666888872 5500333308 7333777744 11000666616 22001333232