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424922100 = 223522336079
BaseRepresentation
bin11001010100111…
…100101111110100
31002121120021112120
4121110330233310
51332240001400
6110055315540
713346530641
oct3124745764
91077507476
10424922100
111a8948299
12ba37bbb0
136a0591c5
1440610dc8
1527487ca0
hex1953cbf4

424922100 has 72 divisors (see below), whose sum is σ = 1234920960. Its totient is φ = 112807680.

The previous prime is 424922083. The next prime is 424922101. The reversal of 424922100 is 1229424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424922101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66861 + ... + 72939.

It is an arithmetic number, because the mean of its divisors is an integer number (17151680).

Almost surely, 2424922100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424922100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617460480).

424922100 is an abundant number, since it is smaller than the sum of its proper divisors (809998860).

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

424922100 is a wasteful number, since it uses less digits than its factorization.

424922100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 424922100 is about 20613.6386889845. The cubic root of 424922100 is about 751.8013588999.

The spelling of 424922100 in words is "four hundred twenty-four million, nine hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 233 300 466 699 932 1165 1398 2330 2796 3495 4660 5825 6079 6990 11650 12158 13980 17475 18237 23300 24316 30395 34950 36474 60790 69900 72948 91185 121580 151975 182370 303950 364740 455925 607900 911850 1416407 1823700 2832814 4249221 5665628 7082035 8498442 14164070 16996884 21246105 28328140 35410175 42492210 70820350 84984420 106230525 141640700 212461050 424922100