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1224430202000 = 245317149324121
BaseRepresentation
bin10001110100010101101…
…110100010110010010000
311100001110122102221212202
4101310111232202302100
5130030113112431000
62334255004342332
7154314343664525
oct21642556426220
94301418387782
101224430202000
11432306a23485
121793772449a8
138b603a6b535
1443396d4b14c
1521cb4858dd5
hex11d15ba2c90

1224430202000 has 160 divisors (see below), whose sum is σ = 3137059152864. Its totient is φ = 460634112000.

The previous prime is 1224430201993. The next prime is 1224430202041. The reversal of 1224430202000 is 2020344221.

It can be written as a sum of positive squares in 16 ways, for example, as 570453920656 + 653976281344 = 755284^2 + 808688^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50749940 + ... + 50774060.

Almost surely, 21224430202000 is an apocalyptic number.

1224430202000 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 1224430202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568529576432).

1224430202000 is an abundant number, since it is smaller than the sum of its proper divisors (1912628950864).

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

1224430202000 is a wasteful number, since it uses less digits than its factorization.

1224430202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25654 (or 25638 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1224430202000 its reverse (2020344221), we get a palindrome (1226450546221).

The spelling of 1224430202000 in words is "one trillion, two hundred twenty-four billion, four hundred thirty million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1493 1700 2000 2125 2986 3400 4250 5972 6800 7465 8500 11944 14930 17000 23888 24121 25381 29860 34000 37325 48242 50762 59720 74650 96484 101524 119440 120605 126905 149300 186625 192968 203048 241210 253810 298600 373250 385936 406096 410057 482420 507620 597200 603025 634525 746500 820114 964840 1015240 1206050 1269050 1493000 1640228 1929680 2030480 2050285 2412100 2538100 2986000 3015125 3172625 3280456 4100570 4824200 5076200 6030250 6345250 6560912 8201140 9648400 10152400 10251425 12060500 12690500 16402280 20502850 24121000 25381000 32804560 36012653 41005700 48242000 50762000 51257125 72025306 82011400 102514250 144050612 164022800 180063265 205028500 288101224 360126530 410057000 576202448 612215101 720253060 820114000 900316325 1224430202 1440506120 1800632650 2448860404 2881012240 3061075505 3601265300 4501581625 4897720808 6122151010 7202530600 9003163250 9795441616 12244302020 14405061200 15305377525 18006326500 24488604040 30610755050 36012653000 48977208080 61221510100 72025306000 76526887625 122443020200 153053775250 244886040400 306107550500 612215101000 1224430202000