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200232233010 = 233514945710891
BaseRepresentation
bin1011101001111011000…
…1010110100000110010
3201010211112021100022000
42322132301112200302
511240033422424020
6231552503354430
720315640620115
oct2723661264062
9633745240260
10200232233010
1177a1096a307
1232981452a16
1315b60480964
149996c9457c
15531da49090
hex2e9ec56832

200232233010 has 128 divisors (see below), whose sum is σ = 538761888000. Its totient is φ = 52915991040.

The previous prime is 200232233009. The next prime is 200232233023. The reversal of 200232233010 is 10332232002.

It is a happy number.

200232233010 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 322 + 330 + 10 = 666.

200232233010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18379665 + ... + 18390555.

It is an arithmetic number, because the mean of its divisors is an integer number (4209077250).

Almost surely, 2200232233010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200232233010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269380944000).

200232233010 is an abundant number, since it is smaller than the sum of its proper divisors (338529654990).

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

200232233010 is a wasteful number, since it uses less digits than its factorization.

200232233010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11513 (or 11507 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 200232233010 its reverse (10332232002), we get a palindrome (210564465012).

The spelling of 200232233010 in words is "two hundred billion, two hundred thirty-two million, two hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 149 270 298 447 457 745 894 914 1341 1371 1490 2235 2285 2682 2742 4023 4113 4470 4570 6705 6855 8046 8226 10891 12339 13410 13710 20115 20565 21782 24678 32673 40230 41130 54455 61695 65346 68093 98019 108910 123390 136186 163365 196038 204279 294057 326730 340465 408558 490095 588114 612837 680930 980190 1021395 1225674 1470285 1622759 1838511 2042790 2940570 3064185 3245518 3677022 4868277 4977187 6128370 8113795 9192555 9736554 9954374 14604831 14931561 16227590 18385110 24341385 24885935 29209662 29863122 43814493 44794683 48682770 49771870 73024155 74657805 87628986 89589366 134384049 146048310 149315610 219072465 223973415 268768098 438144930 447946830 671920245 741600863 1343840490 1483201726 2224802589 3708004315 4449605178 6674407767 7416008630 11124012945 13348815534 20023223301 22248025890 33372038835 40046446602 66744077670 100116116505 200232233010