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212470636720 = 245291372392797
BaseRepresentation
bin1100010111100000111…
…1001010000010110000
3202022102102222200001111
43011320033022002300
511440114440333340
6241335131043104
721231135420316
oct3057017120260
9668372880044
10212470636720
1182121154141
1235217ba0494
1317060b27864
14a3d84100b6
1557d81acaea
hex31783ca0b0

212470636720 has 160 divisors (see below), whose sum is σ = 517097260800. Its totient is φ = 81088831488.

The previous prime is 212470636681. The next prime is 212470636723. The reversal of 212470636720 is 27636074212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (212470636723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75962362 + ... + 75965158.

It is an arithmetic number, because the mean of its divisors is an integer number (3231857880).

Almost surely, 2212470636720 is an apocalyptic number.

212470636720 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 212470636720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258548630400).

212470636720 is an abundant number, since it is smaller than the sum of its proper divisors (304626624080).

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

212470636720 is a wasteful number, since it uses less digits than its factorization.

212470636720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 212470636720 in words is "two hundred twelve billion, four hundred seventy million, six hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 137 145 232 239 274 290 464 478 548 580 685 956 1096 1160 1195 1370 1912 2192 2320 2390 2740 2797 3824 3973 4780 5480 5594 6931 7946 9560 10960 11188 13862 13985 15892 19120 19865 22376 27724 27970 31784 32743 34655 39730 44752 55448 55940 63568 65486 69310 79460 81113 110896 111880 130972 138620 158920 162226 163715 223760 261944 277240 317840 324452 327430 383189 405565 523888 554480 648904 654860 668483 766378 811130 949547 1297808 1309720 1336966 1532756 1622260 1899094 1915945 2619440 2673932 3065512 3244520 3342415 3798188 3831890 4747735 5347864 6131024 6489040 6684830 7596376 7663780 9495470 10695728 11112481 13369660 15192752 15327560 18990940 19386007 22224962 26739320 30655120 37981880 38772014 44449924 53478640 55562405 75963760 77544028 88899848 91582171 96930035 111124810 155088056 177799696 183164342 193860070 222249620 310176112 366328684 387720140 444499240 457910855 732657368 775440280 888998480 915821710 1465314736 1550880560 1831643420 2655882959 3663286840 5311765918 7326573680 10623531836 13279414795 21247063672 26558829590 42494127344 53117659180 106235318360 212470636720