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2223430040 = 2351389107449
BaseRepresentation
bin1000010010000110…
…1101100110011000
312201221202221121202
42010201231212120
514023144230130
61004343453332
7106045562216
oct20441554630
95657687552
102223430040
11a41082997
12520757248
132958460a0
14171419cb6
15d02e9145
hex8486d998

2223430040 has 128 divisors (see below), whose sum is σ = 5511240000. Its totient is φ = 802357248.

The previous prime is 2223430031. The next prime is 2223430057. The reversal of 2223430040 is 400343222.

It is a super-2 number, since 2×22234300402 = 9887282285548803200, which contains 22 as substring.

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 = 2223429994 and 2223430021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4951736 + ... + 4952184.

Almost surely, 22223430040 is an apocalyptic number.

2223430040 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 2223430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755620000).

2223430040 is an abundant number, since it is smaller than the sum of its proper divisors (3287809960).

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

2223430040 is a wasteful number, since it uses less digits than its factorization.

2223430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2223430040 is about 47153.2611809618. The cubic root of 2223430040 is about 1305.1922599060.

Adding to 2223430040 its reverse (400343222), we get a palindrome (2623773262).

The spelling of 2223430040 in words is "two billion, two hundred twenty-three million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 89 104 107 130 178 214 260 356 428 445 449 520 535 712 856 890 898 1070 1157 1391 1780 1796 2140 2245 2314 2782 3560 3592 4280 4490 4628 5564 5785 5837 6955 8980 9256 9523 11128 11570 11674 13910 17960 19046 23140 23348 27820 29185 38092 39961 46280 46696 47615 48043 55640 58370 76184 79922 95230 96086 116740 123799 159844 190460 192172 199805 233480 240215 247598 319688 380920 384344 399610 480430 495196 519493 618995 624559 799220 960860 990392 1038986 1237990 1249118 1598440 1921720 2077972 2475980 2498236 2597465 3122795 4155944 4275827 4951960 4996472 5194930 6245590 8551654 10389860 12491180 17103308 20779720 21379135 24982360 34206616 42758270 55585751 85516540 111171502 171033080 222343004 277928755 444686008 555857510 1111715020 2223430040