Search a number
-
+
242222424 = 23337416653
BaseRepresentation
bin11100111000000…
…00010101011000
3121212210011200220
432130000111120
5444002104144
640011400040
76000566553
oct1634002530
9555704626
10242222424
11114801324
1269153020
133b24b5a2
142425369a
15163e9919
hexe700558

242222424 has 64 divisors (see below), whose sum is σ = 637187040. Its totient is φ = 76631040.

The previous prime is 242222423. The next prime is 242222441. The reversal of 242222424 is 424222242.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 242222394 and 242222403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242222423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33082 + ... + 39734.

Almost surely, 2242222424 is an apocalyptic number.

242222424 is a gapful number since it is divisible by the number (24) 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 242222424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318593520).

242222424 is an abundant number, since it is smaller than the sum of its proper divisors (394964616).

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

242222424 is a wasteful number, since it uses less digits than its factorization.

242222424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6736 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 242222424 is about 15563.4965223114. The cubic root of 242222424 is about 623.3588294133.

Adding to 242222424 its reverse (424222242), we get a palindrome (666444666).

The spelling of 242222424 in words is "two hundred forty-two million, two hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 41 74 82 111 123 148 164 222 246 296 328 444 492 888 984 1517 3034 4551 6068 6653 9102 12136 13306 18204 19959 26612 36408 39918 53224 79836 159672 246161 272773 492322 545546 738483 818319 984644 1091092 1476966 1636638 1969288 2182184 2953932 3273276 5907864 6546552 10092601 20185202 30277803 40370404 60555606 80740808 121111212 242222424