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203214152000 = 2653205312373
BaseRepresentation
bin1011110101000010000…
…0011110000101000000
3201102112100021112011002
42331100200132011000
511312140310331000
6233204424311132
720452556535356
oct2752040360500
9642470245132
10203214152000
1179201100172
12334740124a8
13162171a4372
149b9ad117d6
15544571a8d5
hex2f5081e140

203214152000 has 112 divisors (see below), whose sum is σ = 503545675152. Its totient is φ = 81239500800.

The previous prime is 203214151993. The next prime is 203214152017. The reversal of 203214152000 is 251412302.

It can be written as a sum of positive squares in 8 ways, for example, as 63266334784 + 139947817216 = 251528^2 + 374096^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16417814 + ... + 16430186.

Almost surely, 2203214152000 is an apocalyptic number.

203214152000 is a gapful number since it is divisible by the number (20) 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 203214152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251772837576).

203214152000 is an abundant number, since it is smaller than the sum of its proper divisors (300331523152).

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

203214152000 is a wasteful number, since it uses less digits than its factorization.

203214152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14453 (or 14433 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 203214152000 its reverse (251412302), we get a palindrome (203465564302).

The spelling of 203214152000 in words is "two hundred three billion, two hundred fourteen million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 2053 4000 4106 8000 8212 10265 12373 16424 20530 24746 32848 41060 49492 51325 61865 65696 82120 98984 102650 123730 131392 164240 197968 205300 247460 256625 309325 328480 395936 410600 494920 513250 618650 656960 791872 821200 989840 1026500 1237300 1546625 1642400 1979680 2053000 2474600 3093250 3284800 3959360 4106000 4949200 6186500 8212000 9898400 12373000 16424000 19796800 24746000 25401769 49492000 50803538 98984000 101607076 127008845 203214152 254017690 406428304 508035380 635044225 812856608 1016070760 1270088450 1625713216 2032141520 2540176900 3175221125 4064283040 5080353800 6350442250 8128566080 10160707600 12700884500 20321415200 25401769000 40642830400 50803538000 101607076000 203214152000