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1228197024 = 25326416653
BaseRepresentation
bin100100100110100…
…1100110010100000
310011121001212120200
41021031030302200
510003404301044
6321512305200
742302334225
oct11115146240
93147055520
101228197024
1158031566a
122a33a2200
131675b7902
14b918d94c
1572c5a369
hex4934cca0

1228197024 has 72 divisors (see below), whose sum is σ = 3498659892. Its totient is φ = 408698880.

The previous prime is 1228197023. The next prime is 1228197043. The reversal of 1228197024 is 4207918221.

It can be written as a sum of positive squares in 2 ways, for example, as 1220244624 + 7952400 = 34932^2 + 2820^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1228197024.

It is not an unprimeable number, because it can be changed into a prime (1228197023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181282 + ... + 187934.

Almost surely, 21228197024 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 1228197024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749329946).

1228197024 is an abundant number, since it is smaller than the sum of its proper divisors (2270462868).

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

1228197024 is a wasteful number, since it uses less digits than its factorization.

1228197024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7310 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1228197024 is about 35045.6420115255. The cubic root of 1228197024 is about 1070.9174952856.

The spelling of 1228197024 in words is "one billion, two hundred twenty-eight million, one hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 641 1282 1923 2564 3846 5128 5769 6653 7692 10256 11538 13306 15384 19959 20512 23076 26612 30768 39918 46152 53224 59877 61536 79836 92304 106448 119754 159672 184608 212896 239508 319344 479016 638688 958032 1916064 4264573 8529146 12793719 17058292 25587438 34116584 38381157 51174876 68233168 76762314 102349752 136466336 153524628 204699504 307049256 409399008 614098512 1228197024