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1228831488 = 28322323189
BaseRepresentation
bin100100100111110…
…0111101100000000
310011122021002220100
41021033213230000
510004040101423
6321534042400
742310616043
oct11117475400
93148232810
101228831488
11580709315
122a3649400
1316777a631
14b92b6c5a
1572d33343
hex493e7b00

1228831488 has 108 divisors (see below), whose sum is σ = 3697228080. Its totient is φ = 391784448.

The previous prime is 1228831481. The next prime is 1228831547. The reversal of 1228831488 is 8841388221.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

1228831488 is a modest number, since divided by 31488 gives 12288 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1228831481) 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, 41398 + ... + 64586.

Almost surely, 21228831488 is an apocalyptic number.

1228831488 is a gapful number since it is divisible by the number (18) 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 1228831488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848614040).

1228831488 is an abundant number, since it is smaller than the sum of its proper divisors (2468396592).

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

1228831488 is a wasteful number, since it uses less digits than its factorization.

1228831488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23234 (or 23217 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 1228831488 is about 35054.6928099506. The cubic root of 1228831488 is about 1071.1018689703.

The spelling of 1228831488 in words is "one billion, two hundred twenty-eight million, eight hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 2208 2304 2944 3312 4416 5888 6624 8832 13248 17664 23189 26496 46378 52992 69567 92756 139134 185512 208701 278268 371024 417402 533347 556536 742048 834804 1066694 1113072 1484096 1600041 1669608 2133388 2226144 2968192 3200082 3339216 4266776 4452288 4800123 5936384 6400164 6678432 8533552 8904576 9600246 12800328 13356864 17067104 17809152 19200492 25600656 26713728 34134208 38400984 51201312 53427456 68268416 76801968 102402624 136536832 153603936 204805248 307207872 409610496 614415744 1228831488