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9013834224 = 24371731489
BaseRepresentation
bin10000110010100010…
…00011000111110000
3212021012010020000000
420121101003013300
5121430020143344
64050233430000
7436241220033
oct103121030760
925235106000
109013834224
11390609007a
1218b686b300
13b085b5125
146171b701a
1537b510a69
hex2194431f0

9013834224 has 160 divisors (see below), whose sum is σ = 26361556800. Its totient is φ = 2985237504.

The previous prime is 9013834223. The next prime is 9013834339. The reversal of 9013834224 is 4224383109.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9013834223) by changing a digit.

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, 6052872 + ... + 6054360.

It is an arithmetic number, because the mean of its divisors is an integer number (164759730).

Almost surely, 29013834224 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 9013834224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13180778400).

9013834224 is an abundant number, since it is smaller than the sum of its proper divisors (17347722576).

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

9013834224 is a wasteful number, since it uses less digits than its factorization.

9013834224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9013834224 is about 94941.2145698590. The cubic root of 9013834224 is about 2081.1490680052.

The spelling of 9013834224 in words is "nine billion, thirteen million, eight hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 173 216 243 324 346 432 486 519 648 692 729 972 1038 1296 1384 1458 1489 1557 1944 2076 2187 2768 2916 2978 3114 3888 4152 4374 4467 4671 5832 5956 6228 8304 8748 8934 9342 11664 11912 12456 13401 14013 17496 17868 18684 23824 24912 26802 28026 34992 35736 37368 40203 42039 53604 56052 71472 74736 80406 84078 107208 112104 120609 126117 160812 168156 214416 224208 241218 252234 257597 321624 336312 361827 378351 482436 504468 515194 643248 672624 723654 756702 772791 964872 1008936 1030388 1085481 1447308 1513404 1545582 1929744 2017872 2060776 2170962 2318373 2894616 3026808 3091164 3256443 4121552 4341924 4636746 5789232 6053616 6182328 6512886 6955119 8683848 9273492 12364656 13025772 13910238 17367696 18546984 20865357 26051544 27820476 37093968 41730714 52103088 55640952 62596071 83461428 111281904 125192142 166922856 187788213 250384284 333845712 375576426 500768568 563364639 751152852 1001537136 1126729278 1502305704 2253458556 3004611408 4506917112 9013834224