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214561685400 = 23352498771707
BaseRepresentation
bin1100011111010011011…
…1110111111110011000
3202111211011122221120220
43013310313313332120
512003410242413100
6242322425320040
721334016143206
oct3076467677630
9674734587526
10214561685400
1182aa4528a47
1235700336020
131730510027a
14a55600a076
1558aba57aa0
hex31f4df7f98

214561685400 has 96 divisors (see below), whose sum is σ = 665283877440. Its totient is φ = 57204178560.

The previous prime is 214561685389. The next prime is 214561685441. The reversal of 214561685400 is 4586165412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2956347 + ... + 3028053.

It is an arithmetic number, because the mean of its divisors is an integer number (6930040390).

Almost surely, 2214561685400 is an apocalyptic number.

214561685400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214561685400 is an abundant number, since it is smaller than the sum of its proper divisors (450722192040).

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

214561685400 is a wasteful number, since it uses less digits than its factorization.

214561685400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76713 (or 76704 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 214561685400 in words is "two hundred fourteen billion, five hundred sixty-one million, six hundred eighty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 4987 9974 14961 19948 24935 29922 39896 49870 59844 71707 74805 99740 119688 124675 143414 149610 199480 215121 249350 286828 299220 358535 374025 430242 498700 573656 598440 717070 748050 860484 997400 1075605 1434140 1496100 1720968 1792675 2151210 2868280 2992200 3585350 4302420 5378025 7170700 8604840 10756050 14341400 21512100 43024200 357602809 715205618 1072808427 1430411236 1788014045 2145616854 2860822472 3576028090 4291233708 5364042135 7152056180 8582467416 8940070225 10728084270 14304112360 17880140450 21456168540 26820210675 35760280900 42912337080 53640421350 71520561800 107280842700 214561685400