Search a number
-
+
224531522120 = 23529971995481
BaseRepresentation
bin1101000100011100011…
…1110010001001001000
3210110112222200010110202
43101013013302021020
512134320032201440
6251052013431332
722136046306443
oct3210707621110
9713488603422
10224531522120
1187250210924
123762319b548
1318233789339
14ac2015a65a
155c91e58615
hex34471f2248

224531522120 has 64 divisors (see below), whose sum is σ = 528004537200. Its totient is φ = 85821603840.

The previous prime is 224531522087. The next prime is 224531522143. The reversal of 224531522120 is 21225135422.

It is a happy number.

224531522120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 97597508836 + 126934013284 = 312406^2 + 356278^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885221 + ... + 1110260.

Almost surely, 2224531522120 is an apocalyptic number.

224531522120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224531522120 is an abundant number, since it is smaller than the sum of its proper divisors (303473015080).

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

224531522120 is a wasteful number, since it uses less digits than its factorization.

224531522120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995618 (or 1995614 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 224531522120 its reverse (21225135422), we get a palindrome (245756657542).

The spelling of 224531522120 in words is "two hundred twenty-four billion, five hundred thirty-one million, five hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 97 116 145 194 232 290 388 485 580 776 970 1160 1940 2813 3880 5626 11252 14065 22504 28130 56260 112520 1995481 3990962 7981924 9977405 15963848 19954810 39909620 57868949 79819240 115737898 193561657 231475796 289344745 387123314 462951592 578689490 774246628 967808285 1157378980 1548493256 1935616570 2314757960 3871233140 5613288053 7742466280 11226576106 22453152212 28066440265 44906304424 56132880530 112265761060 224531522120