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40019224 = 23717127331
BaseRepresentation
bin1001100010101…
…0010100011000
32210022012001111
42120222110120
540221103344
63545430104
7664105060
oct230522430
983265044
1040019224
1120654043
121149b334
1383a251b
14545a3a0
1537a7834
hex262a518

40019224 has 64 divisors (see below), whose sum is σ = 91791360. Its totient is φ = 15966720.

The previous prime is 40019219. The next prime is 40019227. The reversal of 40019224 is 42291004.

It is a junction number, because it is equal to n+sod(n) for n = 40019195 and 40019204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40019227) 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, 120739 + ... + 121069.

It is an arithmetic number, because the mean of its divisors is an integer number (1434240).

Almost surely, 240019224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40019224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45895680).

40019224 is an abundant number, since it is smaller than the sum of its proper divisors (51772136).

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

40019224 is a wasteful number, since it uses less digits than its factorization.

40019224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 40019224 is about 6326.0749284213. The cubic root of 40019224 is about 342.0499681900.

It can be divided in two parts, 4001 and 9224, that added together give a square (13225 = 1152).

The spelling of 40019224 in words is "forty million, nineteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 127 136 238 254 331 476 508 662 889 952 1016 1324 1778 2159 2317 2648 3556 4318 4634 5627 7112 8636 9268 11254 15113 17272 18536 22508 30226 39389 42037 45016 60452 78778 84074 120904 157556 168148 294259 315112 336296 588518 714629 1177036 1429258 2354072 2858516 5002403 5717032 10004806 20009612 40019224