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223023103000 = 23537329310427
BaseRepresentation
bin1100111110110100110…
…1100111110000011000
3210022122212022111102221
43033231031213300120
512123222403244000
6250242211033424
722053502045165
oct3175515476030
9708585274387
10223023103000
1186646800255
1237281b9b874
1318053109c49
14ab19aa506c
155c047e961a
hex33ed367c18

223023103000 has 128 divisors (see below), whose sum is σ = 530879469120. Its totient is φ = 87678489600.

The previous prime is 223023102997. The next prime is 223023103031. The reversal of 223023103000 is 301320322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21383787 + ... + 21394213.

Almost surely, 2223023103000 is an apocalyptic number.

223023103000 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 223023103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265439734560).

223023103000 is an abundant number, since it is smaller than the sum of its proper divisors (307856366120).

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

223023103000 is a wasteful number, since it uses less digits than its factorization.

223023103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10814 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 223023103000 its reverse (301320322), we get a palindrome (223324423322).

The spelling of 223023103000 in words is "two hundred twenty-three billion, twenty-three million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 293 365 500 584 586 730 1000 1172 1460 1465 1825 2344 2920 2930 3650 5860 7300 7325 9125 10427 11720 14600 14650 18250 20854 21389 29300 36500 36625 41708 42778 52135 58600 73000 73250 83416 85556 104270 106945 146500 171112 208540 213890 260675 293000 417080 427780 521350 534725 761171 855560 1042700 1069450 1303375 1522342 2085400 2138900 2606750 2673625 3044684 3055111 3805855 4277800 5213500 5347250 6089368 6110222 7611710 10427000 10694500 12220444 15223420 15275555 19029275 21389000 24440888 30446840 30551110 38058550 61102220 76117100 76377775 95146375 122204440 152234200 152755550 190292750 223023103 305511100 380585500 381888875 446046206 611022200 761171000 763777750 892092412 1115115515 1527555500 1784184824 2230231030 3055111000 4460462060 5575577575 8920924120 11151155150 22302310300 27877887875 44604620600 55755775750 111511551500 223023103000