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214357900920 = 23355933012337
BaseRepresentation
bin1100011110100010111…
…0011111111001111000
3202111021222012121211120
43013220232133321320
512003001110312140
6242250305425240
721325663044312
oct3075056377170
9674258177746
10214357900920
11829aa4a0719
123566403b220
13172a1b1c537
14a536d207b2
155898c021d0
hex31e8b9fe78

214357900920 has 64 divisors (see below), whose sum is σ = 644158357920. Its totient is φ = 57065693184.

The previous prime is 214357900919. The next prime is 214357900921. The reversal of 214357900920 is 29009753412.

It is an interprime number because it is at equal distance from previous prime (214357900919) and next prime (214357900921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214357900921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1435009 + ... + 1577328.

Almost surely, 2214357900920 is an apocalyptic number.

214357900920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214357900920 is an abundant number, since it is smaller than the sum of its proper divisors (429800457000).

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

214357900920 is a wasteful number, since it uses less digits than its factorization.

214357900920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012944 (or 3012940 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 214357900920 in words is "two hundred fourteen billion, three hundred fifty-seven million, nine hundred thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 593 1186 1779 2372 2965 3558 4744 5930 7116 8895 11860 14232 17790 23720 35580 71160 3012337 6024674 9037011 12049348 15061685 18074022 24098696 30123370 36148044 45185055 60246740 72296088 90370110 120493480 180740220 361480440 1786315841 3572631682 5358947523 7145263364 8931579205 10717895046 14290526728 17863158410 21435790092 26794737615 35726316820 42871580184 53589475230 71452633640 107178950460 214357900920