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2234144104200 = 2332521965325851
BaseRepresentation
bin100000100000101101010…
…111011001111100001000
321220120201100021202002100
4200200231113121330020
5243101011342313300
64430203541433400
7320261113360251
oct40405527317410
97816640252070
102234144104200
1179154a114918
12300baa40b860
131328a96834a8
147a1c1521b28
153d1adcb8700
hex2082d5d9f08

2234144104200 has 144 divisors (see below), whose sum is σ = 7897895506800. Its totient is φ = 564415344000.

The previous prime is 2234144104193. The next prime is 2234144104223. The reversal of 2234144104200 is 24014414322.

2234144104200 is a `hidden beast` number, since 2 + 2 + 3 + 41 + 4 + 410 + 4 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32628726 + ... + 32697125.

It is an arithmetic number, because the mean of its divisors is an integer number (54846496575).

Almost surely, 22234144104200 is an apocalyptic number.

2234144104200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234144104200 is an abundant number, since it is smaller than the sum of its proper divisors (5663751402600).

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

2234144104200 is a wasteful number, since it uses less digits than its factorization.

2234144104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65325892 (or 65325880 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2234144104200 its reverse (24014414322), we get a palindrome (2258158518522).

The spelling of 2234144104200 in words is "two trillion, two hundred thirty-four billion, one hundred forty-four million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4275 5700 6840 8550 11400 17100 34200 65325851 130651702 195977553 261303404 326629255 391955106 522606808 587932659 653258510 783910212 979887765 1175865318 1241191169 1306517020 1567820424 1633146275 1959775530 2351730636 2482382338 2613034040 2939663295 3266292550 3723573507 3919551060 4703461272 4899438825 4964764676 5879326590 6205955845 6532585100 7447147014 7839102120 9798877650 9929529352 11170720521 11758653180 12411911690 13065170200 14698316475 14894294028 18617867535 19597755300 22341441042 23517306360 24823823380 29396632950 29788588056 31029779225 37235735070 39195510600 44682882084 49647646760 55853602605 58793265900 62059558450 74471470140 89365764168 93089337675 111707205210 117586531800 124119116900 148942940280 186178675350 223414410420 248238233800 279268013025 372357350700 446828820840 558536026050 744714701400 1117072052100 2234144104200