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1228533000 = 23353478713
BaseRepresentation
bin100100100111001…
…1110110100001000
310011121200221110020
41021032132310020
510004001024000
6321523420440
742305233602
oct11116366410
93147627406
101228533000
11580525032
122a3524720
131676a4806
14b923a172
1572cc4ba0
hex4939ed08

1228533000 has 128 divisors (see below), whose sum is σ = 3915025920. Its totient is φ = 320601600.

The previous prime is 1228532983. The next prime is 1228533001. The reversal of 1228533000 is 3358221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1228533001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136644 + ... + 145356.

It is an arithmetic number, because the mean of its divisors is an integer number (30586140).

Almost surely, 21228533000 is an apocalyptic number.

1228533000 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 1228533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957512960).

1228533000 is an abundant number, since it is smaller than the sum of its proper divisors (2686492920).

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

1228533000 is a wasteful number, since it uses less digits than its factorization.

1228533000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8784 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1228533000 is about 35050.4350900242. The cubic root of 1228533000 is about 1071.0151369956.

The spelling of 1228533000 in words is "one billion, two hundred twenty-eight million, five hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 125 141 150 188 200 235 250 282 300 375 376 470 500 564 600 705 750 940 1000 1128 1175 1410 1500 1880 2350 2820 3000 3525 4700 5640 5875 7050 8713 9400 11750 14100 17426 17625 23500 26139 28200 34852 35250 43565 47000 52278 69704 70500 87130 104556 130695 141000 174260 209112 217825 261390 348520 409511 435650 522780 653475 819022 871300 1045560 1089125 1228533 1306950 1638044 1742600 2047555 2178250 2457066 2613900 3267375 3276088 4095110 4356500 4914132 5227800 6142665 6534750 8190220 8713000 9828264 10237775 12285330 13069500 16380440 20475550 24570660 26139000 30713325 40951100 49141320 51188875 61426650 81902200 102377750 122853300 153566625 204755500 245706600 307133250 409511000 614266500 1228533000