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2242446462420 = 2235475231520447
BaseRepresentation
bin100000101000011100001…
…110011000110111010100
321221101010221122020111020
4200220130032120313110
5243220012243244140
64434055442041140
7321003625301253
oct40503416306724
97841127566436
102242446462420
1179501a62749a
123027269491b0
1313360073b8a8
147a76c01479a
153d4e7adb6d0
hex20a1c398dd4

2242446462420 has 96 divisors (see below), whose sum is σ = 6424707760128. Its totient is φ = 584143189632.

The previous prime is 2242446462413. The next prime is 2242446462427. The reversal of 2242446462420 is 242646442422.

It is an interprime number because it is at equal distance from previous prime (2242446462413) and next prime (2242446462427).

It is a super-2 number, since 2×22424464624202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242446462427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714637 + ... + 2235083.

It is an arithmetic number, because the mean of its divisors is an integer number (66924039168).

Almost surely, 22242446462420 is an apocalyptic number.

2242446462420 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 2242446462420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212353880064).

2242446462420 is an abundant number, since it is smaller than the sum of its proper divisors (4182261297708).

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

2242446462420 is a wasteful number, since it uses less digits than its factorization.

2242446462420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521029 (or 1521027 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 42.

The spelling of 2242446462420 in words is "two trillion, two hundred forty-two billion, four hundred forty-six million, four hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 523 564 705 940 1046 1410 1569 2092 2615 2820 3138 5230 6276 7845 10460 15690 24581 31380 49162 73743 98324 122905 147486 245810 294972 368715 491620 737430 1474860 1520447 3040894 4561341 6081788 7602235 9122682 15204470 18245364 22806705 30408940 45613410 71461009 91226820 142922018 214383027 285844036 357305045 428766054 714610090 795193781 857532108 1071915135 1429220180 1590387562 2143830270 2385581343 3180775124 3975968905 4287660540 4771162686 7951937810 9542325372 11927906715 15903875620 23855813430 37374107707 47711626860 74748215414 112122323121 149496430828 186870538535 224244646242 373741077070 448489292484 560611615605 747482154140 1121223231210 2242446462420