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221404223020 = 2252910119319583
BaseRepresentation
bin1100111000110010111…
…0000101011000101100
3210011111001002212121011
43032030232011120230
512111413440114040
6245413420515004
721665413562401
oct3161456053054
9704431085534
10221404223020
1185995a03812
1236aab9aba64
1317b558c37b6
14aa04a982a8
155b5c61b3ea
hex338cb8562c

221404223020 has 96 divisors (see below), whose sum is σ = 488285521920. Its totient is φ = 84218265600.

The previous prime is 221404223009. The next prime is 221404223023. The reversal of 221404223020 is 20322404122.

It is a junction number, because it is equal to n+sod(n) for n = 221404222982 and 221404223000.

It is not an unprimeable number, because it can be changed into a prime (221404223023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11296149 + ... + 11315731.

It is an arithmetic number, because the mean of its divisors is an integer number (5086307520).

Almost surely, 2221404223020 is an apocalyptic number.

221404223020 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 221404223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244142760960).

221404223020 is an abundant number, since it is smaller than the sum of its proper divisors (266881298900).

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

221404223020 is a wasteful number, since it uses less digits than its factorization.

221404223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19915 (or 19913 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 221404223020 its reverse (20322404122), we get a palindrome (241726627142).

The spelling of 221404223020 in words is "two hundred twenty-one billion, four hundred four million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 101 116 145 193 202 290 386 404 505 580 772 965 1010 1930 2020 2929 3860 5597 5858 11194 11716 14645 19493 19583 22388 27985 29290 38986 39166 55970 58580 77972 78332 97465 97915 111940 194930 195830 389860 391660 565297 567907 1130594 1135814 1977883 2261188 2271628 2826485 2839535 3779519 3955766 5652970 5679070 7559038 7911532 9889415 11305940 11358140 15118076 18897595 19778830 37795190 39557660 57358607 75590380 109606051 114717214 219212102 229434428 286793035 381731419 438424204 548030255 573586070 763462838 1096060510 1147172140 1526925676 1908657095 2192121020 3817314190 7634628380 11070211151 22140422302 44280844604 55351055755 110702111510 221404223020