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212033112880 = 245192334011493
BaseRepresentation
bin1100010101111000101…
…0001000101100110000
3202021021221201011011211
43011132022020230300
511433220434103010
6241223501245504
721214243502521
oct3053612105460
9667257634154
10212033112880
1181a17189a96
1235115563894
1316cc12a8804
14a39627c848
1557aea8608a
hex315e288b30

212033112880 has 160 divisors (see below), whose sum is σ = 522799842240. Its totient is φ = 79751577600.

The previous prime is 212033112857. The next prime is 212033112881. The reversal of 212033112880 is 88211330212.

It is not an unprimeable number, because it can be changed into a prime (212033112881) 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, 142017414 + ... + 142018906.

It is an arithmetic number, because the mean of its divisors is an integer number (3267499014).

Almost surely, 2212033112880 is an apocalyptic number.

212033112880 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 212033112880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261399921120).

212033112880 is an abundant number, since it is smaller than the sum of its proper divisors (310766729360).

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

212033112880 is a wasteful number, since it uses less digits than its factorization.

212033112880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 212033112880 in words is "two hundred twelve billion, thirty-three million, one hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 233 304 380 401 466 760 802 932 1165 1493 1520 1604 1864 2005 2330 2986 3208 3728 4010 4427 4660 5972 6416 7465 7619 8020 8854 9320 11944 14930 15238 16040 17708 18640 22135 23888 28367 29860 30476 32080 35416 38095 44270 56734 59720 60952 70832 76190 88540 93433 113468 119440 121904 141835 152380 177080 186866 226936 283670 304760 347869 354160 373732 453872 467165 567340 598693 609520 695738 747464 934330 1134680 1197386 1391476 1494928 1739345 1775227 1868660 2269360 2394772 2782952 2993465 3478690 3550454 3737320 4789544 5565904 5986930 6609511 6957380 7100908 7474640 8876135 9579088 11375167 11973860 13219022 13914760 14201816 17752270 22750334 23947720 26438044 27829520 28403632 33047555 35504540 45500668 47895440 52876088 56875835 66095110 71009080 91001336 105752176 113751670 132190220 139495469 142018160 182002672 227503340 264380440 278990938 455006680 528760880 557981876 697477345 910013360 1115963752 1394954690 2231927504 2650413911 2789909380 5300827822 5579818760 10601655644 11159637520 13252069555 21203311288 26504139110 42406622576 53008278220 106016556440 212033112880