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20077224 = 2331944029
BaseRepresentation
bin100110010010…
…1101010101000
31101210000202220
41030211222220
520114432344
61554154040
7332440116
oct114455250
941700686
1020077224
1110373352
126882920
13420c61b
142948ab6
151b68c19
hex1325aa8

20077224 has 32 divisors (see below), whose sum is σ = 52836000. Its totient is φ = 6340032.

The previous prime is 20077217. The next prime is 20077247. The reversal of 20077224 is 42277002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20077194 and 20077203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21559 + ... + 22470.

It is an arithmetic number, because the mean of its divisors is an integer number (1651125).

Almost surely, 220077224 is an apocalyptic number.

20077224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20077224 is an abundant number, since it is smaller than the sum of its proper divisors (32758776).

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

20077224 is a wasteful number, since it uses less digits than its factorization.

20077224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44057 (or 44053 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 20077224 is about 4480.7615424166. The cubic root of 20077224 is about 271.7906766106.

It can be divided in two parts, 20077 and 224, that added together give a triangular number (20301 = T201).

The spelling of 20077224 in words is "twenty million, seventy-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 44029 88058 132087 176116 264174 352232 528348 836551 1056696 1673102 2509653 3346204 5019306 6692408 10038612 20077224