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114622128 = 243631317
BaseRepresentation
bin1101101010011…
…11111010110000
321222200102000000
412311033322300
5213320402003
615212430000
72561162205
oct665177260
9258612000
10114622128
1159779335
1232478300
131a99315a
1411319cac
15a0e21a3
hex6d4feb0

114622128 has 140 divisors (see below), whose sum is σ = 344793408. Its totient is φ = 36858240.

The previous prime is 114622091. The next prime is 114622129. The reversal of 114622128 is 821226411.

114622128 is a `hidden beast` number, since 1 + 14 + 622 + 1 + 28 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (114622129) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 361426 + ... + 361742.

Almost surely, 2114622128 is an apocalyptic number.

114622128 is a gapful number since it is divisible by the number (18) 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 114622128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172396704).

114622128 is an abundant number, since it is smaller than the sum of its proper divisors (230171280).

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

114622128 is an equidigital number, since it uses as much as digits as its factorization.

114622128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 114622128 is about 10706.1724252881. The cubic root of 114622128 is about 485.7611995549.

Adding to 114622128 its reverse (821226411), we get a palindrome (935848539).

The spelling of 114622128 in words is "one hundred fourteen million, six hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 243 248 279 317 324 372 432 486 496 558 634 648 729 744 837 951 972 1116 1268 1296 1458 1488 1674 1902 1944 2232 2511 2536 2853 2916 3348 3804 3888 4464 5022 5072 5706 5832 6696 7533 7608 8559 9827 10044 11412 11664 13392 15066 15216 17118 19654 20088 22599 22824 25677 29481 30132 34236 39308 40176 45198 45648 51354 58962 60264 68472 77031 78616 88443 90396 102708 117924 120528 136944 154062 157232 176886 180792 205416 231093 235848 265329 308124 353772 361584 410832 462186 471696 530658 616248 707544 795987 924372 1061316 1232496 1415088 1591974 1848744 2122632 2387961 3183948 3697488 4245264 4775922 6367896 7163883 9551844 12735792 14327766 19103688 28655532 38207376 57311064 114622128