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20924080200 = 23325211624489
BaseRepresentation
bin10011011111001011…
…000010000001001000
32000000020100101222100
4103133023002001020
5320323031031300
613340135353400
71340342514162
oct233713020110
960006311870
1020924080200
118968109171
12407b522860
131c85c8295a
141026d0d932
15826e52700
hex4df2c2048

20924080200 has 72 divisors (see below), whose sum is σ = 70270042050. Its totient is φ = 5579754240.

The previous prime is 20924080187. The next prime is 20924080213. The reversal of 20924080200 is 208042902.

It is an interprime number because it is at equal distance from previous prime (20924080187) and next prime (20924080213).

It can be written as a sum of positive squares in 3 ways, for example, as 17520757956 + 3403322244 = 132366^2 + 58338^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5810445 + ... + 5814044.

Almost surely, 220924080200 is an apocalyptic number.

20924080200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20924080200 is an abundant number, since it is smaller than the sum of its proper divisors (49345961850).

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

20924080200 is a wasteful number, since it uses less digits than its factorization.

20924080200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11624511 (or 11624499 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20924080200 in words is "twenty billion, nine hundred twenty-four million, eighty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11624489 23248978 34873467 46497956 58122445 69746934 92995912 104620401 116244890 139493868 174367335 209240802 232489780 278987736 290612225 348734670 418481604 464979560 523102005 581224450 697469340 836963208 871836675 1046204010 1162448900 1394938680 1743673350 2092408020 2324897800 2615510025 3487346700 4184816040 5231020050 6974693400 10462040100 20924080200