Search a number
-
+
203229972 = 223411127449
BaseRepresentation
bin11000001110100…
…00101100010100
3112011102011010000
430013100230110
5404011324342
632055531300
75015266131
oct1407205424
9464364100
10203229972
11a4799760
1258089b30
133314852a
141cdc3588
1512c9644c
hexc1d0b14

203229972 has 120 divisors (see below), whose sum is σ = 585446400. Its totient is φ = 60963840.

The previous prime is 203229967. The next prime is 203229991. The reversal of 203229972 is 279922302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 452404 + ... + 452852.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2203229972 is an apocalyptic number.

203229972 is a gapful number since it is divisible by the number (22) 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 203229972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292723200).

203229972 is an abundant number, since it is smaller than the sum of its proper divisors (382216428).

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

203229972 is a wasteful number, since it uses less digits than its factorization.

203229972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 203229972 is about 14255.8749994520. The cubic root of 203229972 is about 587.9349157450.

The spelling of 203229972 in words is "two hundred three million, two hundred twenty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 127 132 162 198 254 297 324 381 396 449 508 594 762 891 898 1143 1188 1347 1397 1524 1782 1796 2286 2694 2794 3429 3564 4041 4191 4572 4939 5388 5588 6858 8082 8382 9878 10287 12123 12573 13716 14817 16164 16764 19756 20574 24246 25146 29634 36369 37719 41148 44451 48492 50292 57023 59268 72738 75438 88902 113157 114046 133353 145476 150876 171069 177804 226314 228092 266706 342138 400059 452628 513207 533412 627253 684276 800118 1026414 1254506 1539621 1600236 1881759 2052828 2509012 3079242 3763518 4618863 5645277 6158484 7527036 9237726 11290554 16935831 18475452 22581108 33871662 50807493 67743324 101614986 203229972