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221123040 = 2535460673
BaseRepresentation
bin11010010111000…
…01000111100000
3120102002012210020
431023201013200
5423101414130
633535233440
75323341405
oct1513410740
9512065706
10221123040
11103900016
1262078880
1336a71948
14215202ac
151462ce10
hexd2e11e0

221123040 has 48 divisors (see below), whose sum is σ = 696539088. Its totient is φ = 58966016.

The previous prime is 221123017. The next prime is 221123047. The reversal of 221123040 is 40321122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221123047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229857 + ... + 230816.

It is an arithmetic number, because the mean of its divisors is an integer number (14511231).

Almost surely, 2221123040 is an apocalyptic number.

221123040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221123040 is an abundant number, since it is smaller than the sum of its proper divisors (475416048).

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

221123040 is a wasteful number, since it uses less digits than its factorization.

221123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460691 (or 460683 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221123040 is about 14870.2064545184. The cubic root of 221123040 is about 604.7065398261.

Adding to 221123040 its reverse (40321122), we get a palindrome (261444162).

It can be divided in two parts, 22112 and 3040, that added together give a palindrome (25152).

The spelling of 221123040 in words is "two hundred twenty-one million, one hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 460673 921346 1382019 1842692 2303365 2764038 3685384 4606730 5528076 6910095 7370768 9213460 11056152 13820190 14741536 18426920 22112304 27640380 36853840 44224608 55280760 73707680 110561520 221123040