Search a number
-
+
152114333000 = 2353797224027
BaseRepresentation
bin1000110110101010111…
…0001000010101001000
3112112122002221202111012
42031222232020111020
54443012232124000
6153514054023052
713663351332260
oct2155256102510
9475562852435
10152114333000
11595696368a3
1225592947a88
1311462618186
1475104cc7a0
153e54528735
hex236ab88548

152114333000 has 128 divisors (see below), whose sum is σ = 410992807680. Its totient is φ = 51615590400.

The previous prime is 152114332901. The next prime is 152114333009. The reversal of 152114333000 is 333411251.

It is not an unprimeable number, because it can be changed into a prime (152114333009) 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, 566987 + ... + 791013.

It is an arithmetic number, because the mean of its divisors is an integer number (3210881310).

Almost surely, 2152114333000 is an apocalyptic number.

152114333000 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 152114333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205496403840).

152114333000 is an abundant number, since it is smaller than the sum of its proper divisors (258878474680).

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

152114333000 is a wasteful number, since it uses less digits than its factorization.

152114333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224152 (or 224138 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 152114333000 its reverse (333411251), we get a palindrome (152447744251).

The spelling of 152114333000 in words is "one hundred fifty-two billion, one hundred fourteen million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 97 100 125 140 175 194 200 250 280 350 388 485 500 679 700 776 875 970 1000 1358 1400 1750 1940 2425 2716 3395 3500 3880 4850 5432 6790 7000 9700 12125 13580 16975 19400 24250 27160 33950 48500 67900 84875 97000 135800 169750 224027 339500 448054 679000 896108 1120135 1568189 1792216 2240270 3136378 4480540 5600675 6272756 7840945 8961080 11201350 12545512 15681890 21730619 22402700 28003375 31363780 39204725 43461238 44805400 56006750 62727560 78409450 86922476 108653095 112013500 152114333 156818900 173844952 196023625 217306190 224027000 304228666 313637800 392047250 434612380 543265475 608457332 760571665 784094500 869224760 1086530950 1216914664 1521143330 1568189000 2173061900 2716327375 3042286660 3802858325 4346123800 5432654750 6084573320 7605716650 10865309500 15211433300 19014291625 21730619000 30422866600 38028583250 76057166500 152114333000