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2242145420220 = 2235316151195977
BaseRepresentation
bin100000101000001010010…
…010000000001110111100
321221100100222011201020010
4200220022102000032330
5243213403211421340
64434005525423220
7320663311421226
oct40501222001674
97840328151203
102242145420220
11794985700a92
12302661b6ab10
13133583267604
147a74004d416
153d4cb473b80
hex20a0a4803bc

2242145420220 has 96 divisors (see below), whose sum is σ = 6481610182656. Its totient is φ = 578521152000.

The previous prime is 2242145420209. The next prime is 2242145420257. The reversal of 2242145420220 is 220245412422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11342872 + ... + 11538848.

It is an arithmetic number, because the mean of its divisors is an integer number (67516772736).

Almost surely, 22242145420220 is an apocalyptic number.

2242145420220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242145420220 is an abundant number, since it is smaller than the sum of its proper divisors (4239464762436).

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

2242145420220 is a wasteful number, since it uses less digits than its factorization.

2242145420220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202171 (or 202169 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The spelling of 2242145420220 in words is "two trillion, two hundred forty-two billion, one hundred forty-five million, four hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 6151 12302 18453 24604 30755 36906 61510 73812 92265 123020 184530 190681 195977 369060 381362 391954 572043 587931 762724 783908 953405 979885 1144086 1175862 1906810 1959770 2288172 2351724 2860215 2939655 3813620 3919540 5720430 5879310 6075287 11440860 11758620 12150574 18225861 24301148 30376435 36451722 60752870 72903444 91129305 121505740 182258610 364517220 1205454527 2410909054 3616363581 4821818108 6027272635 7232727162 12054545270 14465454324 18081817905 24109090540 36163635810 37369090337 72327271620 74738180674 112107271011 149476361348 186845451685 224214542022 373690903370 448429084044 560536355055 747381806740 1121072710110 2242145420220