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2002642224 = 243113792883
BaseRepresentation
bin111011101011101…
…1110010100110000
312011120022202200020
41313113132110300
513100134022344
6530415323440
7100425115032
oct16727362460
95146282606
102002642224
11938491820
1247a820580
1325bb90bcb
1414dd85c52
15bac35719
hex775de530

2002642224 has 40 divisors (see below), whose sum is σ = 5643811392. Its totient is φ = 606861120.

The previous prime is 2002642207. The next prime is 2002642247. The reversal of 2002642224 is 4222462002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2002642194 and 2002642203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1895914 + ... + 1896969.

Almost surely, 22002642224 is an apocalyptic number.

2002642224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2002642224 is an abundant number, since it is smaller than the sum of its proper divisors (3641169168).

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

2002642224 is a wasteful number, since it uses less digits than its factorization.

2002642224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792905 (or 3792899 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2002642224 is about 44750.8907620843. The cubic root of 2002642224 is about 1260.4756380149.

The spelling of 2002642224 in words is "two billion, two million, six hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3792883 7585766 11378649 15171532 22757298 30343064 41721713 45514596 60686128 83443426 91029192 125165139 166886852 182058384 250330278 333773704 500660556 667547408 1001321112 2002642224