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382217820 = 223534918253
BaseRepresentation
bin10110110010000…
…010111001011100
3222122012200021120
4112302002321130
51240321432240
6101532130540
712320540445
oct2662027134
9878180246
10382217820
1118682a9a6
12a8006a50
13612567ba
1438a962cc
152384ead0
hex16c82e5c

382217820 has 48 divisors (see below), whose sum is σ = 1073335200. Its totient is φ = 101627136.

The previous prime is 382217789. The next prime is 382217827. The reversal of 382217820 is 28712283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382217827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11814 + ... + 30066.

It is an arithmetic number, because the mean of its divisors is an integer number (22361150).

Almost surely, 2382217820 is an apocalyptic number.

382217820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382217820 is an abundant number, since it is smaller than the sum of its proper divisors (691117380).

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

382217820 is a wasteful number, since it uses less digits than its factorization.

382217820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18614 (or 18612 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 382217820 is about 19550.3918119305. The cubic root of 382217820 is about 725.7220361268.

The spelling of 382217820 in words is "three hundred eighty-two million, two hundred seventeen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 349 698 1047 1396 1745 2094 3490 4188 5235 6980 10470 18253 20940 36506 54759 73012 91265 109518 182530 219036 273795 365060 547590 1095180 6370297 12740594 19110891 25481188 31851485 38221782 63702970 76443564 95554455 127405940 191108910 382217820