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221434315300 = 225211511339371
BaseRepresentation
bin1100111000111010000…
…0111000001000100100
3210011120010201201110001
43032032200320020210
512111444141042200
6245420413511044
721666230424112
oct3161640701044
9704503651401
10221434315300
1185a00997570
1236ab9aa2484
1317b5bbcb793
14aa08a8cab2
155b600b276a
hex338e838224

221434315300 has 72 divisors (see below), whose sum is σ = 524311254432. Its totient is φ = 80503776000.

The previous prime is 221434315261. The next prime is 221434315307. The reversal of 221434315300 is 3513434122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221434315307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5604615 + ... + 5643985.

It is an arithmetic number, because the mean of its divisors is an integer number (7282100756).

Almost surely, 2221434315300 is an apocalyptic number.

221434315300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221434315300 is an abundant number, since it is smaller than the sum of its proper divisors (302876939132).

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

221434315300 is a wasteful number, since it uses less digits than its factorization.

221434315300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44509 (or 44502 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 221434315300 its reverse (3513434122), we get a palindrome (224947749422).

The spelling of 221434315300 in words is "two hundred twenty-one billion, four hundred thirty-four million, three hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 5113 10226 20452 25565 39371 51130 56243 78742 102260 112486 127825 157484 196855 224972 255650 281215 393710 433081 511300 562430 787420 866162 984275 1124860 1406075 1732324 1968550 2165405 2812150 3937100 4330810 5624300 8661620 10827025 21654050 43308100 201303923 402607846 805215692 1006519615 2013039230 2214343153 4026078460 4428686306 5032598075 8857372612 10065196150 11071715765 20130392300 22143431530 44286863060 55358578825 110717157650 221434315300