Search a number
-
+
152225121000 = 23353127399541
BaseRepresentation
bin1000110111000101010…
…0110000001011101000
3112112220211102101001110
42031301110300023220
54443224112333000
6153533052350320
713666165115331
oct2156124601350
9475824371043
10152225121000
1159616126527
1225603a753a0
131147c5680c4
1475210cb288
153e5e10e850
hex23715302e8

152225121000 has 128 divisors (see below), whose sum is σ = 478683279360. Its totient is φ = 40273632000.

The previous prime is 152225120969. The next prime is 152225121001. The reversal of 152225121000 is 121522251.

It is not an unprimeable number, because it can be changed into a prime (152225121001) 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, 181230 + ... + 580770.

It is an arithmetic number, because the mean of its divisors is an integer number (3739713120).

Almost surely, 2152225121000 is an apocalyptic number.

152225121000 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 152225121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239341639680).

152225121000 is an abundant number, since it is smaller than the sum of its proper divisors (326458158360).

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

152225121000 is a wasteful number, since it uses less digits than its factorization.

152225121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399692 (or 399678 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 152225121000 its reverse (121522251), we get a palindrome (152346643251).

The spelling of 152225121000 in words is "one hundred fifty-two billion, two hundred twenty-five million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 127 150 200 250 254 300 375 381 500 508 600 635 750 762 1000 1016 1270 1500 1524 1905 2540 3000 3048 3175 3810 5080 6350 7620 9525 12700 15240 15875 19050 25400 31750 38100 47625 63500 76200 95250 127000 190500 381000 399541 799082 1198623 1598164 1997705 2397246 3196328 3995410 4794492 5993115 7990820 9588984 9988525 11986230 15981640 19977050 23972460 29965575 39954100 47944920 49942625 50741707 59931150 79908200 99885250 101483414 119862300 149827875 152225121 199770500 202966828 239724600 253708535 299655750 304450242 399541000 405933656 507417070 599311500 608900484 761125605 1014834140 1198623000 1217800968 1268542675 1522251210 2029668280 2537085350 3044502420 3805628025 5074170700 6089004840 6342713375 7611256050 10148341400 12685426750 15222512100 19028140125 25370853500 30445024200 38056280250 50741707000 76112560500 152225121000