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221540223040 = 2651375053381
BaseRepresentation
bin1100111001010011010…
…0111000100001000000
3210011211112000101112221
43032110310320201000
512112203244114130
6245435115500424
722001654553043
oct3162464704100
9704745011487
10221540223040
1185a55753624
1236b29457714
1317b77b30296
14aa18b7ac5a
155b6953287a
hex3394d38840

221540223040 has 56 divisors (see below), whose sum is σ = 531393437592. Its totient is φ = 87969239040.

The previous prime is 221540223029. The next prime is 221540223043. The reversal of 221540223040 is 40322045122.

It can be written as a sum of positive squares in 4 ways, for example, as 4764312576 + 216775910464 = 69024^2 + 465592^2 .

It is a super-2 number, since 2×2215402230402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221540222996 and 221540223014.

It is not an unprimeable number, because it can be changed into a prime (221540223043) 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, 2482851 + ... + 2570530.

Almost surely, 2221540223040 is an apocalyptic number.

221540223040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221540223040 is an abundant number, since it is smaller than the sum of its proper divisors (309853214552).

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

221540223040 is a wasteful number, since it uses less digits than its factorization.

221540223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053535 (or 5053525 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 221540223040 its reverse (40322045122), we get a palindrome (261862268162).

The spelling of 221540223040 in words is "two hundred twenty-one billion, five hundred forty million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 137 160 274 320 548 685 1096 1370 2192 2740 4384 5480 8768 10960 21920 43840 5053381 10106762 20213524 25266905 40427048 50533810 80854096 101067620 161708192 202135240 323416384 404270480 692313197 808540960 1384626394 1617081920 2769252788 3461565985 5538505576 6923131970 11077011152 13846263940 22154022304 27692527880 44308044608 55385055760 110770111520 221540223040