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2241352134 = 234779127197
BaseRepresentation
bin1000010110011000…
…0101000111000110
312210012111111010000
42011212011013012
514042241232014
61010223542130
7106354115220
oct20546050706
95705444100
102241352134
11a5020403a
1252675a946
1329947c788
14173963410
15d1b89509
hex859851c6

2241352134 has 160 divisors (see below), whose sum is σ = 5887918080. Its totient is φ = 624117312.

The previous prime is 2241352109. The next prime is 2241352147. The reversal of 2241352134 is 4312531422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2241352098 and 2241352107.

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 79 ways as a sum of consecutive naturals, for example, 11377324 + ... + 11377520.

It is an arithmetic number, because the mean of its divisors is an integer number (36799488).

Almost surely, 22241352134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241352134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943959040).

2241352134 is an abundant number, since it is smaller than the sum of its proper divisors (3646565946).

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

2241352134 is a wasteful number, since it uses less digits than its factorization.

2241352134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 415 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2241352134 is about 47342.9206323395. The cubic root of 2241352134 is about 1308.6897401668.

Adding to 2241352134 its reverse (4312531422), we get a palindrome (6553883556).

It can be divided in two parts, 22413 and 52134, that added together give a palindrome (74547).

The spelling of 2241352134 in words is "two billion, two hundred forty-one million, three hundred fifty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 81 126 127 158 162 189 197 237 254 378 381 394 474 553 567 591 711 762 889 1106 1134 1143 1182 1379 1422 1659 1773 1778 2133 2286 2667 2758 3318 3429 3546 4137 4266 4977 5319 5334 6399 6858 8001 8274 9954 10033 10287 10638 12411 12798 14931 15563 15957 16002 20066 20574 24003 24822 25019 29862 30099 31126 31914 37233 44793 46689 48006 50038 60198 70231 72009 74466 75057 89586 90297 93378 108941 111699 140067 140462 144018 150114 175133 180594 210693 217882 223398 225171 270891 280134 326823 350266 420201 421386 450342 525399 541782 632079 653646 675513 812673 840402 980469 1050798 1260603 1264158 1351026 1576197 1625346 1896237 1960938 1976501 2026539 2521206 2941407 3152394 3792474 3953002 4053078 4728591 5688711 5882814 5929503 8824221 9457182 11377422 11859006 13835507 14185773 17648442 17788509 27671014 28371546 35577018 41506521 53365527 83013042 106731054 124519563 160096581 249039126 320193162 373558689 747117378 1120676067 2241352134