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214998816 = 2537928349
BaseRepresentation
bin11001101000010…
…01111100100000
3112222120001221010
430310021330200
5420014430231
633200100520
75220313464
oct1464117440
9488501833
10214998816
111003a787a
1260004740
1335709246
14207a84a4
1513d1d546
hexcd09f20

214998816 has 48 divisors (see below), whose sum is σ = 571536000. Its totient is φ = 70756608.

The previous prime is 214998769. The next prime is 214998827. The reversal of 214998816 is 618899412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6591 + ... + 21758.

It is an arithmetic number, because the mean of its divisors is an integer number (11907000).

Almost surely, 2214998816 is an apocalyptic number.

It is an amenable number.

214998816 is an abundant number, since it is smaller than the sum of its proper divisors (356537184).

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

214998816 is a wasteful number, since it uses less digits than its factorization.

214998816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28441 (or 28433 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 214998816 is about 14662.8379244947. The cubic root of 214998816 is about 599.0715417945.

The spelling of 214998816 in words is "two hundred fourteen million, nine hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 28349 56698 85047 113396 170094 226792 340188 453584 680376 907168 1360752 2239571 2721504 4479142 6718713 8958284 13437426 17916568 26874852 35833136 53749704 71666272 107499408 214998816