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114040224 = 253443997
BaseRepresentation
bin1101100110000…
…01110110100000
321221120211210000
412303001312200
5213143241344
615152140000
72553216534
oct663016640
9257524700
10114040224
1159411121
1232237600
131a81b32c
1411207bc4
15a029a69
hex6cc1da0

114040224 has 60 divisors (see below), whose sum is σ = 335396754. Its totient is φ = 38012544.

The previous prime is 114040181. The next prime is 114040249. The reversal of 114040224 is 422040411.

It can be written as a sum of positive squares in only one way, i.e., 106750224 + 7290000 = 10332^2 + 2700^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 114040197 and 114040206.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19407 + ... + 24590.

Almost surely, 2114040224 is an apocalyptic number.

It is an amenable number.

114040224 is an abundant number, since it is smaller than the sum of its proper divisors (221356530).

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

114040224 is an equidigital number, since it uses as much as digits as its factorization.

114040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44019 (or 44002 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 114040224 is about 10678.9617472861. The cubic root of 114040224 is about 484.9377806605.

Adding to 114040224 its reverse (422040411), we get a palindrome (536080635).

The spelling of 114040224 in words is "one hundred fourteen million, forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 43997 87994 131991 175988 263982 351976 395973 527964 703952 791946 1055928 1187919 1407904 1583892 2111856 2375838 3167784 3563757 4223712 4751676 6335568 7127514 9503352 12671136 14255028 19006704 28510056 38013408 57020112 114040224