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114230412 = 22351731223
BaseRepresentation
bin1101100111100…
…00010010001100
321221221111200000
412303300102030
5213220333122
615200204300
72554641162
oct663602214
9257844600
10114230412
1159530aaa
1232309690
131a886a7a
1411257232
15a0660ac
hex6cf048c

114230412 has 144 divisors (see below), whose sum is σ = 328753152. Its totient is φ = 34525440.

The previous prime is 114230411. The next prime is 114230453. The reversal of 114230412 is 214032411.

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

It is not an unprimeable number, because it can be changed into a prime (114230411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512133 + ... + 512355.

It is an arithmetic number, because the mean of its divisors is an integer number (2283008).

Almost surely, 2114230412 is an apocalyptic number.

114230412 is a gapful number since it is divisible by the number (12) 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 114230412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164376576).

114230412 is an abundant number, since it is smaller than the sum of its proper divisors (214522740).

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

114230412 is a wasteful number, since it uses less digits than its factorization.

114230412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114230412 is about 10687.8628359462. The cubic root of 114230412 is about 485.2072122689.

Adding to 114230412 its reverse (214032411), we get a palindrome (328262823).

It can be divided in two parts, 1142304 and 12, that added together give a triangular number (1142316 = T1511).

The spelling of 114230412 in words is "one hundred fourteen million, two hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 81 93 102 108 124 153 162 186 204 223 243 279 306 324 372 446 459 486 527 558 612 669 837 892 918 972 1054 1116 1338 1377 1581 1674 1836 2007 2108 2511 2676 2754 3162 3348 3791 4014 4131 4743 5022 5508 6021 6324 6913 7533 7582 8028 8262 9486 10044 11373 12042 13826 14229 15066 15164 16524 18063 18972 20739 22746 24084 27652 28458 30132 34119 36126 41478 42687 45492 54189 56916 62217 68238 72252 82956 85374 102357 108378 117521 124434 128061 136476 170748 186651 204714 216756 235042 248868 256122 307071 352563 373302 409428 470084 512244 559953 614142 705126 746604 921213 1057689 1119906 1228284 1410252 1679859 1842426 2115378 2239812 3173067 3359718 3684852 4230756 6346134 6719436 9519201 12692268 19038402 28557603 38076804 57115206 114230412