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221012040 = 233515711731
BaseRepresentation
bin11010010110001…
…10000001001000
3120101212120112010
431023012001020
5423034341130
633533015520
75322366654
oct1513060110
9511776463
10221012040
11103834687
12620245a0
1336a33272
14214d1a64
151460a0b0
hexd2c6048

221012040 has 64 divisors (see below), whose sum is σ = 667316160. Its totient is φ = 58556160.

The previous prime is 221012039. The next prime is 221012069. The reversal of 221012040 is 40210122.

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

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, 12975 + ... + 24705.

It is an arithmetic number, because the mean of its divisors is an integer number (10426815).

Almost surely, 2221012040 is an apocalyptic number.

221012040 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 221012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333658080).

221012040 is an abundant number, since it is smaller than the sum of its proper divisors (446304120).

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

221012040 is a wasteful number, since it uses less digits than its factorization.

221012040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11902 (or 11898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221012040 is about 14866.4736908253. The cubic root of 221012040 is about 604.6053387625.

Adding to 221012040 its reverse (40210122), we get a palindrome (261222162).

The spelling of 221012040 in words is "two hundred twenty-one million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 9420 11731 18840 23462 35193 46924 58655 70386 93848 117310 140772 175965 234620 281544 351930 469240 703860 1407720 1841767 3683534 5525301 7367068 9208835 11050602 14734136 18417670 22101204 27626505 36835340 44202408 55253010 73670680 110506020 221012040