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102299220 = 22335389487
BaseRepresentation
bin1100001100011…
…11011001010100
321010111100011000
412012033121110
5202142033340
614052343300
72351346312
oct606173124
9233440130
10102299220
1152821a11
122a314b30
131826a1aa
14d82d0b2
158eaad30
hex618f654

102299220 has 96 divisors (see below), whose sum is σ = 319737600. Its totient is φ = 27153792.

The previous prime is 102299203. The next prime is 102299227. The reversal of 102299220 is 22992201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102299227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 209817 + ... + 210303.

It is an arithmetic number, because the mean of its divisors is an integer number (3330600).

Almost surely, 2102299220 is an apocalyptic number.

102299220 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 102299220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159868800).

102299220 is an abundant number, since it is smaller than the sum of its proper divisors (217438380).

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

102299220 is a wasteful number, since it uses less digits than its factorization.

102299220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 102299220 is about 10114.3076876275. The cubic root of 102299220 is about 467.6893072630.

The spelling of 102299220 in words is "one hundred two million, two hundred ninety-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 389 487 540 778 974 1167 1461 1556 1945 1948 2334 2435 2922 3501 3890 4383 4668 4870 5835 5844 7002 7305 7780 8766 9740 10503 11670 13149 14004 14610 17505 17532 21006 21915 23340 26298 29220 35010 42012 43830 52515 52596 65745 70020 87660 105030 131490 189443 210060 262980 378886 568329 757772 947215 1136658 1704987 1894430 2273316 2841645 3409974 3788860 5114961 5683290 6819948 8524935 10229922 11366580 17049870 20459844 25574805 34099740 51149610 102299220