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32214204020 = 2258322291021
BaseRepresentation
bin11110000000000111…
…011011111001110100
310002011001201010021102
4132000013123321310
51011433314012040
622444330105232
72220204134105
oct360007337164
9102131633242
1032214204020
1112731095309
1262b057b218
13306502a9ab
1417b85423ac
15c881ee515
hex7801dbe74

32214204020 has 72 divisors (see below), whose sum is σ = 68841081960. Its totient is φ = 12662426880.

The previous prime is 32214204007. The next prime is 32214204023. The reversal of 32214204020 is 2040241223.

It can be written as a sum of positive squares in 4 ways, for example, as 10971724516 + 21242479504 = 104746^2 + 145748^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32214203983 and 32214204001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32214204023) 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, 31551110 + ... + 31552130.

Almost surely, 232214204020 is an apocalyptic number.

It is an amenable number.

32214204020 is an abundant number, since it is smaller than the sum of its proper divisors (36626877940).

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

32214204020 is a wasteful number, since it uses less digits than its factorization.

32214204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 32214204020 its reverse (2040241223), we get a palindrome (34254445243).

The spelling of 32214204020 in words is "thirty-two billion, two hundred fourteen million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 83 166 229 332 415 458 830 916 1021 1145 1660 2042 2290 4084 4580 5105 6889 10210 13778 19007 20420 27556 34445 38014 68890 76028 84743 95035 137780 169486 190070 233809 338972 380140 423715 467618 847430 935236 1169045 1577581 1694860 2338090 3155162 4676180 6310324 7033669 7887905 14067338 15775810 19406147 28134676 31551620 35168345 38812294 70336690 77624588 97030735 140673380 194061470 388122940 1610710201 3221420402 6442840804 8053551005 16107102010 32214204020