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1223893840 = 245138271423
BaseRepresentation
bin100100011110011…
…0010001101010000
310011021222020201111
41020330302031100
510001304100330
6321240143104
742220632421
oct11074621520
93137866644
101223893840
11578946614
122a1a67a94
1316673c050
14b878d648
15726aa32a
hex48f32350

1223893840 has 80 divisors (see below), whose sum is σ = 3070303488. Its totient is φ = 451035648.

The previous prime is 1223893819. The next prime is 1223893841. The reversal of 1223893840 is 483983221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12238938402 = 2995832263179891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1223893793 and 1223893802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223893841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859369 + ... + 860791.

Almost surely, 21223893840 is an apocalyptic number.

1223893840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535151744).

1223893840 is an abundant number, since it is smaller than the sum of its proper divisors (1846409648).

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

1223893840 is a wasteful number, since it uses less digits than its factorization.

1223893840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 1223893840 is about 34984.1941453566. The cubic root of 1223893840 is about 1069.6653217128.

The spelling of 1223893840 in words is "one billion, two hundred twenty-three million, eight hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 827 1040 1423 1654 2846 3308 4135 5692 6616 7115 8270 10751 11384 13232 14230 16540 18499 21502 22768 28460 33080 36998 43004 53755 56920 66160 73996 86008 92495 107510 113840 147992 172016 184990 215020 295984 369980 430040 739960 860080 1176821 1479920 2353642 4707284 5884105 9414568 11768210 15298673 18829136 23536420 30597346 47072840 61194692 76493365 94145680 122389384 152986730 244778768 305973460 611946920 1223893840