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221311020 = 22357526931
BaseRepresentation
bin11010011000011…
…11000000101100
3120102102202122110
431030033000230
5423123423040
633543244020
75325053430
oct1514170054
9512382573
10221311020
11103a19277
1262149610
1336b09388
142156c9c0
1514668980
hexd30f02c

221311020 has 48 divisors (see below), whose sum is σ = 708196608. Its totient is φ = 50585280.

The previous prime is 221311009. The next prime is 221311039. The reversal of 221311020 is 20113122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 221310987 and 221311005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263046 + ... + 263885.

It is an arithmetic number, because the mean of its divisors is an integer number (14754096).

Almost surely, 2221311020 is an apocalyptic number.

221311020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221311020 is an abundant number, since it is smaller than the sum of its proper divisors (486885588).

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

221311020 is a wasteful number, since it uses less digits than its factorization.

221311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526950 (or 526948 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 221311020 is about 14876.5258040982. The cubic root of 221311020 is about 604.8778479794.

Adding to 221311020 its reverse (20113122), we get a palindrome (241424142).

The spelling of 221311020 in words is "two hundred twenty-one million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 526931 1053862 1580793 2107724 2634655 3161586 3688517 5269310 6323172 7377034 7903965 10538620 11065551 14754068 15807930 18442585 22131102 31615860 36885170 44262204 55327755 73770340 110655510 221311020