Search a number
-
+
224535444 = 22372735231
BaseRepresentation
bin11010110001000…
…10001110010100
3120122111120201120
431120202032110
5424440113234
634140323540
75364343200
oct1530421624
9518446646
10224535444
11105820891
12632435b0
1337697c13
1421b6bb00
1514aa4049
hexd622394

224535444 has 72 divisors (see below), whose sum is σ = 617920128. Its totient is φ = 63262080.

The previous prime is 224535433. The next prime is 224535463. The reversal of 224535444 is 444535422.

It is a super-2 number, since 2×2245354442 = 100832331224554272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40309 + ... + 45539.

It is an arithmetic number, because the mean of its divisors is an integer number (8582224).

Almost surely, 2224535444 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 224535444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308960064).

224535444 is an abundant number, since it is smaller than the sum of its proper divisors (393384684).

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

224535444 is a wasteful number, since it uses less digits than its factorization.

224535444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325 (or 5316 counting only the distinct ones).

The product of its digits is 76800, while the sum is 33.

The square root of 224535444 is about 14984.5067986904. The cubic root of 224535444 is about 607.8013150719.

The spelling of 224535444 in words is "two hundred twenty-four million, five hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 292 294 438 511 588 876 1022 1533 2044 3066 3577 5231 6132 7154 10462 10731 14308 15693 20924 21462 31386 36617 42924 62772 73234 109851 146468 219702 256319 381863 439404 512638 763726 768957 1025276 1145589 1527452 1537914 2291178 2673041 3075828 4582356 5346082 8019123 10692164 16038246 18711287 32076492 37422574 56133861 74845148 112267722 224535444