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1014224224 = 25131012239
BaseRepresentation
bin111100011100111…
…101010101100000
32121200102221002011
4330130331111200
54034120133344
6244350202304
734063522636
oct7434752540
92550387064
101014224224
11480559742
122437b3394
1313217a6a0
14989b1356
155e090d34
hex3c73d560

1014224224 has 72 divisors (see below), whose sum is σ = 2180939040. Its totient is φ = 461529600.

The previous prime is 1014224209. The next prime is 1014224297. The reversal of 1014224224 is 4224224101.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1014224195 and 1014224204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4243497 + ... + 4243735.

It is an arithmetic number, because the mean of its divisors is an integer number (30290820).

Almost surely, 21014224224 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 1014224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090469520).

1014224224 is an abundant number, since it is smaller than the sum of its proper divisors (1166714816).

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

1014224224 is a wasteful number, since it uses less digits than its factorization.

1014224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1014224224 is about 31846.8871948264. The cubic root of 1014224224 is about 1004.7191030352.

Adding to 1014224224 its reverse (4224224101), we get a palindrome (5238448325).

It can be divided in two parts, 101 and 4224224, that multiplied together give a palindrome (426646624).

The spelling of 1014224224 in words is "one billion, fourteen million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 239 404 416 478 808 956 1313 1616 1912 2626 3107 3232 3824 5252 6214 7648 10201 10504 12428 20402 21008 24139 24856 40804 42016 48278 49712 81608 96556 99424 132613 163216 193112 265226 313807 326432 386224 530452 627614 772448 1060904 1255228 2121808 2438039 2510456 4243616 4876078 5020912 9752156 10041824 19504312 31694507 39008624 63389014 78017248 126778028 253556056 507112112 1014224224