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201001132224 = 2632661952721
BaseRepresentation
bin1011101100110010011…
…0011110000011000000
3201012211010002110201200
42323030212132003000
511243122242212344
6232201051501200
720343665301564
oct2731446360300
9635733073650
10201001132224
1178275998702
1232b56a57800
1315c538647c9
149a2b0456a4
1553662cb069
hex2ecc99e0c0

201001132224 has 84 divisors (see below), whose sum is σ = 576231425640. Its totient is φ = 66988984320.

The previous prime is 201001132219. The next prime is 201001132231. The reversal of 201001132224 is 422231100102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201001132197 and 201001132206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3786184 + ... + 3838904.

Almost surely, 2201001132224 is an apocalyptic number.

201001132224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201001132224 is an abundant number, since it is smaller than the sum of its proper divisors (375230293416).

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

201001132224 is a wasteful number, since it uses less digits than its factorization.

201001132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59358 (or 59345 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201001132224 its reverse (422231100102), we get a palindrome (623232232326).

The spelling of 201001132224 in words is "two hundred one billion, one million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 6619 13238 19857 26476 39714 52721 52952 59571 79428 105442 105904 119142 158163 158856 210884 211808 238284 316326 317712 421768 423616 474489 476568 632652 635424 843536 948978 953136 1265304 1270848 1687072 1897956 1906272 2530608 3374144 3795912 3812544 5061216 7591824 10122432 15183648 30367296 348960299 697920598 1046880897 1395841196 2093761794 2791682392 3140642691 4187523588 5583364784 6281285382 8375047176 11166729568 12562570764 16750094352 22333459136 25125141528 33500188704 50250283056 67000377408 100500566112 201001132224