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102233340 = 22345115737
BaseRepresentation
bin1100001011111…
…11010011111100
321010100222210000
412011333103330
5202132431330
614051114300
72350653246
oct605772374
9233328700
10102233340
1152787470
122a2a2990
1318246201
14d813096
158e96560
hex617f4fc

102233340 has 120 divisors (see below), whose sum is σ = 349926192. Its totient is φ = 24779520.

The previous prime is 102233333. The next prime is 102233363. The reversal of 102233340 is 43332201.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 14952 + ... + 20688.

Almost surely, 2102233340 is an apocalyptic number.

102233340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102233340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174963096).

102233340 is an abundant number, since it is smaller than the sum of its proper divisors (247692852).

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

102233340 is a wasteful number, since it uses less digits than its factorization.

102233340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 102233340 is about 10111.0503905381. The cubic root of 102233340 is about 467.5888894624.

Adding to 102233340 its reverse (43332201), we get a palindrome (145565541).

The spelling of 102233340 in words is "one hundred two million, two hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5737 5940 8910 11474 17211 17820 22948 28685 34422 51633 57370 63107 68844 86055 103266 114740 126214 154899 172110 189321 206532 252428 258165 309798 315535 344220 378642 464697 516330 567963 619596 631070 757284 774495 929394 946605 1032660 1135926 1262140 1548990 1703889 1858788 1893210 2271852 2323485 2839815 3097980 3407778 3786420 4646970 5111667 5679630 6815556 8519445 9293940 10223334 11359260 17038890 20446668 25558335 34077780 51116670 102233340