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1002223134 = 23211171915671
BaseRepresentation
bin111011101111001…
…011011000011110
32120211212012200100
4323233023120132
54023032120014
6243241041530
733556520223
oct7357133036
92524765610
101002223134
11474802090
1223b7862a6
1312c838053
149716994a
155cec0009
hex3bbcb61e

1002223134 has 96 divisors (see below), whose sum is σ = 2640418560. Its totient is φ = 270777600.

The previous prime is 1002223133. The next prime is 1002223139. The reversal of 1002223134 is 4313222001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002223133) 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 47 ways as a sum of consecutive naturals, for example, 56119 + ... + 71789.

It is an arithmetic number, because the mean of its divisors is an integer number (27504360).

Almost surely, 21002223134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002223134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320209280).

1002223134 is an abundant number, since it is smaller than the sum of its proper divisors (1638195426).

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

1002223134 is a wasteful number, since it uses less digits than its factorization.

1002223134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15726 (or 15723 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1002223134 is about 31657.9079220343. The cubic root of 1002223134 is about 1000.7404961967.

Adding to 1002223134 its reverse (4313222001), we get a palindrome (5315445135).

The spelling of 1002223134 in words is "one billion, two million, two hundred twenty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 19 22 33 34 38 51 57 66 99 102 114 153 171 187 198 209 306 323 342 374 418 561 627 646 969 1122 1254 1683 1881 1938 2907 3366 3553 3762 5814 7106 10659 15671 21318 31342 31977 47013 63954 94026 141039 172381 266407 282078 297749 344762 517143 532814 595498 799221 893247 1034286 1551429 1598442 1786494 2397663 2679741 2930477 3102858 3275239 4795326 5061733 5359482 5860954 6550478 8791431 9825717 10123466 15185199 17582862 19651434 26374293 29477151 30370398 45555597 52748586 55679063 58954302 91111194 111358126 167037189 334074378 501111567 1002223134