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224000014420 = 225713821149911
BaseRepresentation
bin1101000010011101110…
…0001111100001010100
3210102011221112201222101
43100213130033201110
512132223000430140
6250523145411444
722116633464350
oct3204734174124
9712157481871
10224000014420
1186aa8194266
12374b5199b84
131817a621c40
14abad722460
155c6046999a
hex342770f854

224000014420 has 96 divisors (see below), whose sum is σ = 579662931456. Its totient is φ = 70805491200.

The previous prime is 224000014409. The next prime is 224000014457. The reversal of 224000014420 is 24410000422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1419265 + ... + 1569175.

It is an arithmetic number, because the mean of its divisors is an integer number (6038155536).

Almost surely, 2224000014420 is an apocalyptic number.

224000014420 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 224000014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289831465728).

224000014420 is an abundant number, since it is smaller than the sum of its proper divisors (355662917036).

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

224000014420 is a wasteful number, since it uses less digits than its factorization.

224000014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150761 (or 150759 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 224000014420 its reverse (24410000422), we get a palindrome (248410014842).

The spelling of 224000014420 in words is "two hundred twenty-four billion, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 821 910 1642 1820 3284 4105 5747 8210 10673 11494 16420 21346 22988 28735 42692 53365 57470 74711 106730 114940 149422 149911 213460 298844 299822 373555 599644 747110 749555 1049377 1494220 1499110 1948843 2098754 2998220 3897686 4197508 5246885 7795372 9744215 10493770 13641901 19488430 20987540 27283802 38976860 54567604 68209505 123076931 136419010 246153862 272838020 492307724 615384655 861538517 1230769310 1600000103 1723077034 2461538620 3200000206 3446154068 4307692585 6400000412 8000000515 8615385170 11200000721 16000001030 17230770340 22400001442 32000002060 44800002884 56000003605 112000007210 224000014420