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114222405 = 35111743947
BaseRepresentation
bin1101100111011…
…10010101000101
321221221002200110
412303232111011
5213220104110
615200103233
72554605633
oct663562505
9257832613
10114222405
1159525a90
1232304b19
131a88322b
1411254353
15a063a20
hex6cee545

114222405 has 64 divisors (see below), whose sum is σ = 216235008. Its totient is φ = 50856960.

The previous prime is 114222401. The next prime is 114222421. The reversal of 114222405 is 504222411.

It is not a de Polignac number, because 114222405 - 22 = 114222401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114222401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120142 + ... + 121088.

It is an arithmetic number, because the mean of its divisors is an integer number (3378672).

Almost surely, 2114222405 is an apocalyptic number.

114222405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114222405 is a deficient number, since it is larger than the sum of its proper divisors (102012603).

114222405 is a wasteful number, since it uses less digits than its factorization.

114222405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 114222405 is about 10687.4882456076. The cubic root of 114222405 is about 485.1958751102.

Adding to 114222405 its reverse (504222411), we get a palindrome (618444816).

The spelling of 114222405 in words is "one hundred fourteen million, two hundred twenty-two thousand, four hundred five".

Divisors: 1 3 5 11 15 17 33 43 51 55 85 129 165 187 215 255 473 561 645 731 935 947 1419 2193 2365 2805 2841 3655 4735 7095 8041 10417 10965 14205 16099 24123 31251 40205 40721 48297 52085 80495 120615 122163 156255 177089 203605 241485 447931 531267 610815 692257 885445 1343793 2076771 2239655 2656335 3461285 6718965 7614827 10383855 22844481 38074135 114222405