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2442022065 = 325722634211
BaseRepresentation
bin1001000110001110…
…0100110010110001
320022012002120111200
42101203210302301
520000124201230
61042153001413
7114341562600
oct22143446261
96265076450
102442022065
11104350435a
125819b3269
132cbc0c992
1419247ba37
15e45c7160
hex918e4cb1

2442022065 has 72 divisors (see below), whose sum is σ = 4943809728. Its totient is φ = 1111844160.

The previous prime is 2442022049. The next prime is 2442022091. The reversal of 2442022065 is 5602202442.

It is a happy number.

It is not a de Polignac number, because 2442022065 - 24 = 2442022049 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 577810 + ... + 582020.

It is an arithmetic number, because the mean of its divisors is an integer number (68664024).

Almost surely, 22442022065 is an apocalyptic number.

It is an amenable number.

2442022065 is an abundant number, since it is smaller than the sum of its proper divisors (2501787663).

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

2442022065 is a wasteful number, since it uses less digits than its factorization.

2442022065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2442022065 is about 49416.8196568739. The cubic root of 2442022065 is about 1346.6348863185.

The spelling of 2442022065 in words is "two billion, four hundred forty-two million, twenty-two thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 263 315 441 735 789 1315 1841 2205 2367 3945 4211 5523 9205 11835 12633 12887 16569 21055 27615 29477 37899 38661 63165 64435 82845 88431 115983 147385 189495 193305 206339 265293 442155 579915 619017 1031695 1107493 1326465 1857051 3095085 3322479 5537465 7752451 9285255 9967437 16612395 23257353 38762255 49837185 54267157 69772059 116286765 162801471 271335785 348860295 488404413 814007355 2442022065