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224100340433420 = 225112937949336357
BaseRepresentation
bin110010111101000101101101…
…001011111000001000001100
31002101110210011001000102021012
4302331011231023320020030
5213333124444122332140
62112342135233224352
765126500230062363
oct6275055513701014
91071423131012235
10224100340433420
1165450469988790
12211741927020b8
139807757564769
143d4a72b53c7da
151ad956de64265
hexcbd16d2f820c

224100340433420 has 96 divisors (see below), whose sum is σ = 545450697852480. Its totient is φ = 76554483747840.

The previous prime is 224100340433393. The next prime is 224100340433479. The reversal of 224100340433420 is 24334043001422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474432119 + ... + 474904238.

It is an arithmetic number, because the mean of its divisors is an integer number (5681778102630).

Almost surely, 2224100340433420 is an apocalyptic number.

224100340433420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224100340433420 is an abundant number, since it is smaller than the sum of its proper divisors (321350357419060).

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

224100340433420 is a wasteful number, since it uses less digits than its factorization.

224100340433420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949336443 (or 949336441 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 224100340433420 its reverse (24334043001422), we get a palindrome (248434383434842).

The spelling of 224100340433420 in words is "two hundred twenty-four trillion, one hundred billion, three hundred forty million, four hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 37 44 55 58 74 110 116 145 148 185 220 290 319 370 407 580 638 740 814 1073 1276 1595 1628 2035 2146 3190 4070 4292 5365 6380 8140 10730 11803 21460 23606 47212 59015 118030 236060 949336357 1898672714 3797345428 4746681785 9493363570 10442699927 18986727140 20885399854 27530754353 35125445209 41770799708 52213499635 55061508706 70250890418 104426999270 110123017412 137653771765 140501780836 175627226045 208853998540 275307543530 302838297883 351254452090 386379897299 550615087060 605676595766 702508904180 772759794598 1018637911061 1211353191532 1514191489415 1545519589196 1931899486495 2037275822122 3028382978830 3863798972990 4074551644244 5093189555305 6056765957660 7727597945980 10186379110610 11205017021671 20372758221220 22410034043342 44820068086684 56025085108355 112050170216710 224100340433420