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200002725328 = 24723738272
BaseRepresentation
bin1011101001000100010…
…1110110010111010000
3201010020112102010221111
42322101011312113100
511234101144202303
6231514024303104
720310153054400
oct2722105662720
9633215363844
10200002725328
117790336283a
1232918611a94
1315b24a647b3
1499745d0800
155308811b6d
hex2e911765d0

200002725328 has 90 divisors (see below), whose sum is σ = 452527141506. Its totient is φ = 85382285184.

The previous prime is 200002725277. The next prime is 200002725347. The reversal of 200002725328 is 823527200002.

It can be written as a sum of positive squares in only one way, i.e., 173728908864 + 26273816464 = 416808^2 + 162092^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 200002725328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 241840851 + ... + 241841677.

Almost surely, 2200002725328 is an apocalyptic number.

200002725328 is a gapful number since it is divisible by the number (28) 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 200002725328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226263570753).

200002725328 is an abundant number, since it is smaller than the sum of its proper divisors (252524416178).

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

200002725328 is an frugal number, since it uses more digits than its factorization.

200002725328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 200002725328 in words is "two hundred billion, two million, seven hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 373 392 746 784 827 1492 1654 2611 2984 3308 5222 5789 5968 6616 10444 11578 13232 18277 20888 23156 36554 40523 41776 46312 73108 81046 92624 146216 162092 292432 308471 324184 616942 648368 683929 1233884 1367858 2159297 2467768 2735716 4318594 4787503 4935536 5471432 8637188 9575006 10942864 15115079 17274376 19150012 30230158 33512521 34548752 38300024 60460316 67025042 76600048 120920632 134050084 241841264 255105517 268100168 510211034 536200336 1020422068 1785738619 2040844136 3571477238 4081688272 7142954476 12500170333 14285908952 25000340666 28571817904 50000681332 100001362664 200002725328