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2234312040420 = 2232541757399937
BaseRepresentation
bin100000100000110111011…
…000000001111111100100
321220121011001021210021100
4200200313120001333210
5243101332340243140
64430232341120100
7320265222662235
oct40406730017744
97817131253240
102234312040420
11791625997889
123010366b9030
131329053c2335
147a1d995908c
153d1bd8dc530
hex20837601fe4

2234312040420 has 144 divisors (see below), whose sum is σ = 6951904687728. Its totient is φ = 580515102720.

The previous prime is 2234312040383. The next prime is 2234312040427. The reversal of 2234312040420 is 240402134322.

2234312040420 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 31 + 204 + 0 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 266262192036 + 1968049848384 = 516006^2 + 1402872^2 .

It is not an unprimeable number, because it can be changed into a prime (2234312040427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5386692 + ... + 5786628.

It is an arithmetic number, because the mean of its divisors is an integer number (48277115887).

Almost surely, 22234312040420 is an apocalyptic number.

2234312040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234312040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475952343864).

2234312040420 is an abundant number, since it is smaller than the sum of its proper divisors (4717592647308).

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

2234312040420 is a wasteful number, since it uses less digits than its factorization.

2234312040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400750 (or 400745 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2234312040420 its reverse (240402134322), we get a palindrome (2474714174742).

The spelling of 2234312040420 in words is "two trillion, two hundred thirty-four billion, three hundred twelve million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 757 820 1230 1476 1514 1845 2271 2460 3028 3690 3785 4542 6813 7380 7570 9084 11355 13626 15140 22710 27252 31037 34065 45420 62074 68130 93111 124148 136260 155185 186222 279333 310370 372444 399937 465555 558666 620740 799874 931110 1117332 1199811 1396665 1599748 1862220 1999685 2399622 2793330 3599433 3999370 4799244 5586660 5999055 7198866 7998740 11998110 14397732 16397417 17997165 23996220 32794834 35994330 49192251 65589668 71988660 81987085 98384502 147576753 163974170 196769004 245961255 295153506 302752309 327948340 491922510 590307012 605504618 737883765 908256927 983845020 1211009236 1475767530 1513761545 1816513854 2724770781 2951535060 3027523090 3633027708 4541284635 5449541562 6055046180 9082569270 10899083124 12412844669 13623853905 18165138540 24825689338 27247707810 37238534007 49651378676 54495415620 62064223345 74477068014 111715602021 124128446690 148954136028 186192670035 223431204042 248256893380 372385340070 446862408084 558578010105 744770680140 1117156020210 2234312040420