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224042420420 = 225713123100231
BaseRepresentation
bin1101000010100111111…
…0000000100011000100
3210102021220100012001222
43100221332000203010
512132314324423140
6250531302335512
722120660103120
oct3205176004304
9712256305058
10224042420420
118701a118545
123750742a598
131818634b950
14abb5200580
155c640445b5
hex3429f808c4

224042420420 has 48 divisors (see below), whose sum is σ = 579063491328. Its totient is φ = 70905732480.

The previous prime is 224042420401. The next prime is 224042420467. The reversal of 224042420420 is 24024240422.

It is a super-2 number, since 2×2240424204202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 224042420420.

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, 61548296 + ... + 61551935.

It is an arithmetic number, because the mean of its divisors is an integer number (12063822736).

Almost surely, 2224042420420 is an apocalyptic number.

224042420420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224042420420 is an abundant number, since it is smaller than the sum of its proper divisors (355021070908).

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

224042420420 is a wasteful number, since it uses less digits than its factorization.

224042420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123100260 (or 123100258 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 224042420420 its reverse (24024240422), we get a palindrome (248066660842).

The spelling of 224042420420 in words is "two hundred twenty-four billion, forty-two million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 123100231 246200462 492400924 615501155 861701617 1231002310 1600303003 1723403234 2462004620 3200606006 3446806468 4308508085 6401212012 8001515015 8617016170 11202121021 16003030030 17234032340 22404242042 32006060060 44808484084 56010605105 112021210210 224042420420