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221032040 = 235431071201
BaseRepresentation
bin11010010110010…
…10111001101000
3120101220120221212
431023022321220
5423041011130
633533252252
75322512165
oct1513127150
9511816855
10221032040
11103848709
1262034088
1336a3c3b8
14214d906c
1514610e95
hexd2cae68

221032040 has 64 divisors (see below), whose sum is σ = 514071360. Its totient is φ = 85478400.

The previous prime is 221032039. The next prime is 221032051. The reversal of 221032040 is 40230122.

221032040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 183440 + ... + 184640.

It is an arithmetic number, because the mean of its divisors is an integer number (8032365).

Almost surely, 2221032040 is an apocalyptic number.

221032040 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 221032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257035680).

221032040 is an abundant number, since it is smaller than the sum of its proper divisors (293039320).

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

221032040 is a wasteful number, since it uses less digits than its factorization.

221032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 221032040 is about 14867.1463300796. The cubic root of 221032040 is about 604.6235756906.

Adding to 221032040 its reverse (40230122), we get a palindrome (261262162).

The spelling of 221032040 in words is "two hundred twenty-one million, thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 107 172 214 215 344 428 430 535 856 860 1070 1201 1720 2140 2402 4280 4601 4804 6005 9202 9608 12010 18404 23005 24020 36808 46010 48040 51643 92020 103286 128507 184040 206572 257014 258215 413144 514028 516430 642535 1028056 1032860 1285070 2065720 2570140 5140280 5525801 11051602 22103204 27629005 44206408 55258010 110516020 221032040