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23200321020 = 223559832812
BaseRepresentation
bin10101100110110110…
…001100110111111100
32012212212111102100220
4111212312030313330
5340003240233040
614354051221340
71450632321612
oct254666146774
965785442326
1023200321020
119925a81628
1245b58a7850
132259729606
1411a13556b2
1590bbce2d0
hex566d8cdfc

23200321020 has 144 divisors (see below), whose sum is σ = 67096632960. Its totient is φ = 5987233280.

The previous prime is 23200321003. The next prime is 23200321061. The reversal of 23200321020 is 2012300232.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82563280 + ... + 82563560.

It is an arithmetic number, because the mean of its divisors is an integer number (465948840).

Almost surely, 223200321020 is an apocalyptic number.

23200321020 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 23200321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33548316480).

23200321020 is an abundant number, since it is smaller than the sum of its proper divisors (43896311940).

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

23200321020 is a wasteful number, since it uses less digits than its factorization.

23200321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23200321020 its reverse (2012300232), we get a palindrome (25212621252).

The spelling of 23200321020 in words is "twenty-three billion, two hundred million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 83 118 166 177 236 249 281 295 332 354 415 498 562 590 708 830 843 885 996 1124 1180 1245 1405 1660 1686 1770 2490 2810 3372 3540 4215 4897 4980 5620 8430 9794 14691 16579 16860 19588 23323 24485 29382 33158 46646 48970 49737 58764 66316 69969 73455 78961 82895 93292 97940 99474 116615 139938 146910 157922 165790 198948 233230 236883 248685 279876 293820 315844 331580 349845 394805 466460 473766 497370 699690 789610 947532 994740 1184415 1376057 1399380 1579220 2368830 2752114 4128171 4658699 4737660 5504228 6553763 6880285 8256342 9317398 13107526 13760570 13976097 16512684 18634796 19661289 20640855 23293495 26215052 27521140 27952194 32768815 39322578 41281710 46586990 55904388 65537630 69880485 78645156 82563420 93173980 98306445 131075260 139760970 196612890 279521940 386672017 393225780 773344034 1160016051 1546688068 1933360085 2320032102 3866720170 4640064204 5800080255 7733440340 11600160510 23200321020