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102229974 = 232721141257
BaseRepresentation
bin1100001011111…
…10011111010110
321010100211011100
412011332133112
5202132324344
614051050530
72350640400
oct605763726
9233324140
10102229974
1152784990
122a2a0a46
1318244812
14d811b70
158e95569
hex617e7d6

102229974 has 144 divisors (see below), whose sum is σ = 289061136. Its totient is φ = 25804800.

The previous prime is 102229969. The next prime is 102229979. The reversal of 102229974 is 479922201.

It is an interprime number because it is at equal distance from previous prime (102229969) and next prime (102229979).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102229979) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 397654 + ... + 397910.

It is an arithmetic number, because the mean of its divisors is an integer number (2007369).

Almost surely, 2102229974 is an apocalyptic number.

102229974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102229974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144530568).

102229974 is an abundant number, since it is smaller than the sum of its proper divisors (186831162).

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

102229974 is a wasteful number, since it uses less digits than its factorization.

102229974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 102229974 is about 10110.8839376189. The cubic root of 102229974 is about 467.5837576679.

The spelling of 102229974 in words is "one hundred two million, two hundred twenty-nine thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 41 42 49 63 66 77 82 98 99 123 126 147 154 198 231 246 257 287 294 369 441 451 462 514 539 574 693 738 771 861 882 902 1078 1353 1386 1542 1617 1722 1799 2009 2313 2583 2706 2827 3157 3234 3598 4018 4059 4626 4851 5166 5397 5654 6027 6314 8118 8481 9471 9702 10537 10794 12054 12593 16191 16962 18081 18942 19789 21074 22099 25186 25443 28413 31611 32382 36162 37779 39578 44198 50886 56826 59367 63222 66297 73759 75558 94833 113337 115907 118734 132594 138523 147518 178101 189666 198891 221277 226674 231814 277046 347721 356202 397782 415569 442554 516313 663831 695442 811349 831138 1032626 1043163 1246707 1327662 1548939 1622698 2086326 2434047 2493414 3097878 4646817 4868094 5679443 7302141 9293634 11358886 14604282 17038329 34076658 51114987 102229974