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1014325224 = 23311101109349
BaseRepresentation
bin111100011101010…
…101111111101000
32121200122001121220
4330131111333220
54034131401344
6244352302040
734064423253
oct7435257750
92550561556
101014325224
11480618610
12243841920
131321b4653
14989da09a
155e0b0c19
hex3c755fe8

1014325224 has 128 divisors (see below), whose sum is σ = 2827440000. Its totient is φ = 300672000.

The previous prime is 1014325097. The next prime is 1014325229. The reversal of 1014325224 is 4225234101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1014325194 and 1014325203.

It is not an unprimeable number, because it can be changed into a prime (1014325229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2906202 + ... + 2906550.

It is an arithmetic number, because the mean of its divisors is an integer number (22089375).

Almost surely, 21014325224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014325224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413720000).

1014325224 is an abundant number, since it is smaller than the sum of its proper divisors (1813114776).

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

1014325224 is a wasteful number, since it uses less digits than its factorization.

1014325224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1014325224 is about 31848.4728676274. The cubic root of 1014325224 is about 1004.7524530771.

Adding to 1014325224 its reverse (4225234101), we get a palindrome (5239559325).

The spelling of 1014325224 in words is "one billion, fourteen million, three hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 109 132 202 218 264 303 327 349 404 436 606 654 698 808 872 1047 1111 1199 1212 1308 1396 2094 2222 2398 2424 2616 2792 3333 3597 3839 4188 4444 4796 6666 7194 7678 8376 8888 9592 11009 11517 13332 14388 15356 22018 23034 26664 28776 30712 33027 35249 38041 44036 46068 66054 70498 76082 88072 92136 105747 114123 121099 132108 140996 152164 211494 228246 242198 264216 281992 304328 363297 387739 418451 422988 456492 484396 726594 775478 836902 845976 912984 968792 1163217 1255353 1453188 1550956 1673804 2326434 2510706 2906376 3101912 3347608 3842141 4652868 5021412 7684282 9305736 10042824 11526423 15368564 23052846 30737128 42263551 46105692 84527102 92211384 126790653 169054204 253581306 338108408 507162612 1014325224