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2273998922460 = 22325611097188791
BaseRepresentation
bin100001000101110100111…
…001011110001011011100
322001101120220011021200100
4201011310321132023130
5244224122211004320
64500354412501100
7323201545626546
oct41056471361334
98041526137610
102273998922460
117a7441121751
1230887177a790
1313658b632ca5
147c0c26da696
153e242b73790
hex21174e5e2dc

2273998922460 has 144 divisors (see below), whose sum is σ = 7017303488832. Its totient is φ = 595911859200.

The previous prime is 2273998922407. The next prime is 2273998922467. The reversal of 2273998922460 is 642298993722.

2273998922460 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 99 + 89 + 2 + 2 + 460 = 666.

2273998922460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273998922467) 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, 11950665 + ... + 12139455.

It is an arithmetic number, because the mean of its divisors is an integer number (48731274228).

Almost surely, 22273998922460 is an apocalyptic number.

2273998922460 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 2273998922460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508651744416).

2273998922460 is an abundant number, since it is smaller than the sum of its proper divisors (4743304566372).

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

2273998922460 is a wasteful number, since it uses less digits than its factorization.

2273998922460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189964 (or 189959 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 2273998922460 in words is "two trillion, two hundred seventy-three billion, nine hundred ninety-eight million, nine hundred twenty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1097 1098 1220 1830 2194 2196 2745 3291 3660 4388 5485 5490 6582 9873 10970 10980 13164 16455 19746 21940 32910 39492 49365 65820 66917 98730 133834 188791 197460 200751 267668 334585 377582 401502 566373 602253 669170 755164 803004 943955 1003755 1132746 1204506 1338340 1699119 1887910 2007510 2265492 2409012 2831865 3011265 3398238 3775820 4015020 5663730 6022530 6796476 8495595 11327460 11516251 12045060 16991190 23032502 33982380 34548753 46065004 57581255 69097506 103646259 115162510 138195012 172743765 207103727 207292518 230325020 345487530 414207454 414585036 518231295 621311181 690975060 828414908 1035518635 1036462590 1242622362 1863933543 2071037270 2072925180 2485244724 3106555905 3727867086 4142074540 6213111810 7455734172 9319667715 12426223620 12633327347 18639335430 25266654694 37278670860 37899982041 50533309388 63166636735 75799964082 113699946123 126333273470 151599928164 189499910205 227399892246 252666546940 378999820410 454799784492 568499730615 757999640820 1136999461230 2273998922460