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102200340 = 223511154849
BaseRepresentation
bin1100001011101…
…11010000010100
321010022022111210
412011313100110
5202130402330
614050301420
72350455114
oct605672024
9233268453
10102200340
11527646a0
122a287870
1318234198
14d805044
158e8b8b0
hex6177414

102200340 has 48 divisors (see below), whose sum is σ = 312177600. Its totient is φ = 24775680.

The previous prime is 102200309. The next prime is 102200341. The reversal of 102200340 is 43002201.

It is a super-2 number, since 2×1022003402 = 20889818992231200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76765 + ... + 78084.

It is an arithmetic number, because the mean of its divisors is an integer number (6503700).

Almost surely, 2102200340 is an apocalyptic number.

102200340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200340 is an abundant number, since it is smaller than the sum of its proper divisors (209977260).

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

102200340 is a wasteful number, since it uses less digits than its factorization.

102200340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154872 (or 154870 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102200340 is about 10109.4183808961. The cubic root of 102200340 is about 467.5385728894.

Adding to 102200340 its reverse (43002201), we get a palindrome (145202541).

The spelling of 102200340 in words is "one hundred two million, two hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 154849 309698 464547 619396 774245 929094 1548490 1703339 1858188 2322735 3096980 3406678 4645470 5110017 6813356 8516695 9290940 10220034 17033390 20440068 25550085 34066780 51100170 102200340