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1224890172 = 2232117973881
BaseRepresentation
bin100100100000010…
…0101011100111100
310011100211212102200
41021000211130330
510002032441142
6321313351500
742232252242
oct11100453474
93140755380
101224890172
11579467130
122a2268590
131669ca6ac
14b896c792
157280564c
hex4902573c

1224890172 has 72 divisors (see below), whose sum is σ = 3382836912. Its totient is φ = 370617600.

The previous prime is 1224890167. The next prime is 1224890201. The reversal of 1224890172 is 2710984221.

1224890172 is a `hidden beast` number, since 1 + 2 + 2 + 489 + 0 + 172 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 313672 + ... + 317552.

It is an arithmetic number, because the mean of its divisors is an integer number (46983846).

Almost surely, 21224890172 is an apocalyptic number.

1224890172 is a gapful number since it is divisible by the number (12) 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 1224890172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691418456).

1224890172 is an abundant number, since it is smaller than the sum of its proper divisors (2157946740).

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

1224890172 is a wasteful number, since it uses less digits than its factorization.

1224890172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699 (or 4694 counting only the distinct ones).

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

The square root of 1224890172 is about 34998.4309934031. The cubic root of 1224890172 is about 1069.9555028516.

The spelling of 1224890172 in words is "one billion, two hundred twenty-four million, eight hundred ninety thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 797 1594 2391 3188 3881 4782 7173 7762 8767 9564 11643 14346 15524 17534 23286 26301 28692 34929 35068 42691 46572 52602 69858 78903 85382 105204 128073 139716 157806 170764 256146 315612 384219 512292 768438 1536876 3093157 6186314 9279471 12372628 18558942 27838413 34024727 37117884 55676826 68049454 102074181 111353652 136098908 204148362 306222543 408296724 612445086 1224890172