Search a number
-
+
203197248 = 2634192063
BaseRepresentation
bin11000001110010…
…00101101000000
3112011100111020000
430013020231000
5404004302443
632055120000
75015101542
oct1407105500
9464314200
10203197248
11a4777111
1258073000
1333136677
141cdb5692
1512c8b8d3
hexc1c8b40

203197248 has 140 divisors (see below), whose sum is σ = 634349760. Its totient is φ = 64136448.

The previous prime is 203197237. The next prime is 203197261. The reversal of 203197248 is 842791302.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97465 + ... + 99527.

Almost surely, 2203197248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317174880).

203197248 is an abundant number, since it is smaller than the sum of its proper divisors (431152512).

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

203197248 is a wasteful number, since it uses less digits than its factorization.

203197248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 203197248 is about 14254.7272159098. The cubic root of 203197248 is about 587.9033577113.

The spelling of 203197248 in words is "two hundred three million, one hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2063 2592 2736 3078 3648 4104 4126 5184 5472 6156 6189 8208 8252 10944 12312 12378 16416 16504 18567 24624 24756 32832 33008 37134 39197 49248 49512 55701 66016 74268 78394 98496 99024 111402 117591 132032 148536 156788 167103 198048 222804 235182 297072 313576 334206 352773 396096 445608 470364 594144 627152 668412 705546 891216 940728 1058319 1188288 1254304 1336824 1411092 1782432 1881456 2116638 2508608 2673648 2822184 3174957 3564864 3762912 4233276 5347296 5644368 6349914 7525824 8466552 10694592 11288736 12699828 16933104 22577472 25399656 33866208 50799312 67732416 101598624 203197248