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1223251040 = 255114791451
BaseRepresentation
bin100100011101001…
…0101010001100000
310011020202120222002
41020322111101200
510001123013130
6321214303132
742212314364
oct11072252140
93136676862
101223251040
11578547680
122a17b7aa8
131665755ab
14b86632a4
15725ceb45
hex48e95460

1223251040 has 96 divisors (see below), whose sum is σ = 3161410560. Its totient is φ = 443584000.

The previous prime is 1223251039. The next prime is 1223251079. The reversal of 1223251040 is 401523221.

It is a super-2 number, since 2×12232510402 = 2992686213722163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842315 + ... + 843765.

It is an arithmetic number, because the mean of its divisors is an integer number (32931360).

Almost surely, 21223251040 is an apocalyptic number.

1223251040 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 1223251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580705280).

1223251040 is an abundant number, since it is smaller than the sum of its proper divisors (1938159520).

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

1223251040 is a wasteful number, since it uses less digits than its factorization.

1223251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1223251040 is about 34975.0059328086. The cubic root of 1223251040 is about 1069.4780229847.

Adding to 1223251040 its reverse (401523221), we get a palindrome (1624774261).

The spelling of 1223251040 in words is "one billion, two hundred twenty-three million, two hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 479 880 958 1451 1760 1916 2395 2902 3832 4790 5269 5804 7255 7664 9580 10538 11608 14510 15328 15961 19160 21076 23216 26345 29020 31922 38320 42152 46432 52690 58040 63844 76640 79805 84304 105380 116080 127688 159610 168608 210760 232160 255376 319220 421520 510752 638440 695029 843040 1276880 1390058 2553760 2780116 3475145 5560232 6950290 7645319 11120464 13900580 15290638 22240928 27801160 30581276 38226595 55602320 61162552 76453190 111204640 122325104 152906380 244650208 305812760 611625520 1223251040