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230221031100 = 223524127169067
BaseRepresentation
bin1101011001101000111…
…1100010011010111100
3211000020111111010112120
43112122033202122330
512232443040443400
6253432335402540
722430043322254
oct3263217423274
9730214433476
10230221031100
11896aa852165
1238750683450
131892c4230b8
14b1dda24964
155ec66adca0
hex359a3e26bc

230221031100 has 144 divisors (see below), whose sum is σ = 684880498176. Its totient is φ = 59673024000.

The previous prime is 230221031083. The next prime is 230221031101. The reversal of 230221031100 is 1130122032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230221031100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230221031101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3298767 + ... + 3367833.

Almost surely, 2230221031100 is an apocalyptic number.

230221031100 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 230221031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342440249088).

230221031100 is an abundant number, since it is smaller than the sum of its proper divisors (454659467076).

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

230221031100 is a wasteful number, since it uses less digits than its factorization.

230221031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69396 (or 69389 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 230221031100 its reverse (1130122032), we get a palindrome (231351153132).

The spelling of 230221031100 in words is "two hundred thirty billion, two hundred twenty-one million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3075 3252 4065 4100 5420 6150 6775 8130 11111 12300 13550 16260 20325 22222 27100 33333 40650 44444 55555 66666 69067 81300 111110 133332 138134 166665 207201 222220 276268 277775 333330 345335 414402 555550 666660 690670 828804 833325 1036005 1111100 1381340 1666650 1726675 2072010 2831747 3333300 3453350 4144020 5180025 5663494 6906700 8495241 10360050 11326988 14158735 16990482 18717157 20720100 28317470 33980964 37434314 42476205 56151471 56634940 70793675 74868628 84952410 93585785 112302942 141587350 169904820 187171570 212381025 224605884 280757355 283174700 374343140 424762050 467928925 561514710 767403437 849524100 935857850 1123029420 1403786775 1534806874 1871715700 2302210311 2807573550 3069613748 3837017185 4604420622 5615147100 7674034370 9208841244 11511051555 15348068740 19185085925 23022103110 38370171850 46044206220 57555257775 76740343700 115110515550 230221031100