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1224250040 = 235134615107
BaseRepresentation
bin100100011111000…
…1001001010111000
310011022122100100002
41020332021022320
510001402000130
6321251532132
742223645046
oct11076111270
93138570302
101224250040
1157906a1a2
122a1bba048
13166835210
14b8843396
157272ab45
hex48f892b8

1224250040 has 64 divisors (see below), whose sum is σ = 2973468960. Its totient is φ = 450961920.

The previous prime is 1224249989. The next prime is 1224250061. The reversal of 1224250040 is 400524221.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1224249994 and 1224250021.

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, 237167 + ... + 242273.

Almost surely, 21224250040 is an apocalyptic number.

1224250040 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 1224250040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486734480).

1224250040 is an abundant number, since it is smaller than the sum of its proper divisors (1749218920).

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

1224250040 is a wasteful number, since it uses less digits than its factorization.

1224250040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1224250040 is about 34989.2846454454. The cubic root of 1224250040 is about 1069.7690828446.

Adding to 1224250040 its reverse (400524221), we get a palindrome (1624774261).

The spelling of 1224250040 in words is "one billion, two hundred twenty-four million, two hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 461 520 922 1844 2305 3688 4610 5107 5993 9220 10214 11986 18440 20428 23972 25535 29965 40856 47944 51070 59930 66391 102140 119860 132782 204280 239720 265564 331955 531128 663910 1327820 2354327 2655640 4708654 9417308 11771635 18834616 23543270 30606251 47086540 61212502 94173080 122425004 153031255 244850008 306062510 612125020 1224250040