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232220330020 = 225723948714251
BaseRepresentation
bin1101100001000101101…
…0010000100000100100
3211012101211112001001201
43120101122100200210
512301041401030040
6254402555332244
722530431144140
oct3302132204044
9735354461051
10232220330020
118a536360018
123900a151084
1318b8a6b3303
14b34d37a220
156091e83a9a
hex3611690824

232220330020 has 96 divisors (see below), whose sum is σ = 560849264640. Its totient is φ = 79116912000.

The previous prime is 232220329993. The next prime is 232220330029. The reversal of 232220330020 is 20033022232.

It is a self number, because there is not a number n which added to its sum of digits gives 232220330020.

It is not an unprimeable number, because it can be changed into a prime (232220330029) 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 31 ways as a sum of consecutive naturals, for example, 16287895 + ... + 16302145.

It is an arithmetic number, because the mean of its divisors is an integer number (5842179840).

Almost surely, 2232220330020 is an apocalyptic number.

232220330020 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 232220330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280424632320).

232220330020 is an abundant number, since it is smaller than the sum of its proper divisors (328628934620).

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

232220330020 is a wasteful number, since it uses less digits than its factorization.

232220330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14993 (or 14991 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 232220330020 its reverse (20033022232), we get a palindrome (252253352252).

The spelling of 232220330020 in words is "two hundred thirty-two billion, two hundred twenty million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 239 478 487 956 974 1195 1673 1948 2390 2435 3346 3409 4780 4870 6692 6818 8365 9740 13636 14251 16730 17045 28502 33460 34090 57004 68180 71255 99757 116393 142510 199514 232786 285020 399028 465572 498785 581965 814751 997570 1163930 1629502 1995140 2327860 3259004 3405989 4073755 6811978 6940237 8147510 13623956 13880474 16295020 17029945 23841923 27760948 34059890 34701185 47683846 48581659 68119780 69402370 95367692 97163318 119209615 138804740 194326636 238419230 242908295 476838460 485816590 971633180 1658716643 3317433286 6634866572 8293583215 11611016501 16587166430 23222033002 33174332860 46444066004 58055082505 116110165010 232220330020