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224221000520 = 23511246326653
BaseRepresentation
bin1101000011010010011…
…1001111001101001000
3210102202100100222220202
43100310213033031020
512133201034004040
6251001122111332
722125256025606
oct3206447171510
9712670328822
10224221000520
1187100a00400
12375571ab548
13181b434644a
14abd0c08876
155c74a6c015
hex34349cf348

224221000520 has 48 divisors (see below), whose sum is σ = 554530048380. Its totient is φ = 81534907520.

The previous prime is 224221000513. The next prime is 224221000541. The reversal of 224221000520 is 25000122422.

It can be written as a sum of positive squares in 2 ways, for example, as 220804130404 + 3416870116 = 469898^2 + 58454^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224221000492 and 224221000501.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23158487 + ... + 23168166.

Almost surely, 2224221000520 is an apocalyptic number.

224221000520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224221000520 is an abundant number, since it is smaller than the sum of its proper divisors (330309047860).

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

224221000520 is a wasteful number, since it uses less digits than its factorization.

224221000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46326686 (or 46326671 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 224221000520 its reverse (25000122422), we get a palindrome (249221122942).

The spelling of 224221000520 in words is "two hundred twenty-four billion, two hundred twenty-one million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 46326653 92653306 185306612 231633265 370613224 463266530 509593183 926533060 1019186366 1853066120 2038372732 2547965915 4076745464 5095931830 5605525013 10191863660 11211050026 20383727320 22422100052 28027625065 44844200104 56055250130 112110500260 224221000520