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212020299984 = 24317225759471
BaseRepresentation
bin1100010101110101100…
…1010000100011010000
3202021021001121012012010
43011131121100203100
511433204144044414
6241222322502520
721214026546243
oct3053531204320
9667231535163
10212020299984
1181a0aa28519
1235111204a40
1316cbb74080c
14a3946a525a
1557ad8a4959
hex315d6508d0

212020299984 has 120 divisors (see below), whose sum is σ = 584106864768. Its totient is φ = 66256240640.

The previous prime is 212020299947. The next prime is 212020300049. The reversal of 212020299984 is 489992020212.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3535369 + ... + 3594839.

Almost surely, 2212020299984 is an apocalyptic number.

212020299984 is a gapful number since it is divisible by the number (24) 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 212020299984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292053432384).

212020299984 is an abundant number, since it is smaller than the sum of its proper divisors (372086564784).

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

212020299984 is a wasteful number, since it uses less digits than its factorization.

212020299984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59773 (or 59750 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 212020299984 in words is "two hundred twelve billion, twenty million, two hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 257 272 289 408 514 578 771 816 867 1028 1156 1542 1734 2056 2312 3084 3468 4112 4369 4624 6168 6936 8738 12336 13107 13872 17476 26214 34952 52428 59471 69904 74273 104856 118942 148546 178413 209712 222819 237884 297092 356826 445638 475768 594184 713652 891276 951536 1011007 1188368 1427304 1782552 2022014 2854608 3033021 3565104 4044028 6066042 8088056 12132084 15284047 16176112 17187119 24264168 30568094 34374238 45852141 48528336 51561357 61136188 68748476 91704282 103122714 122272376 137496952 183408564 206245428 244544752 259828799 274993904 366817128 412490856 519657598 733634256 779486397 824981712 1039315196 1558972794 2078630392 3117945588 4157260784 4417089583 6235891176 8834179166 12471782352 13251268749 17668358332 26502537498 35336716664 53005074996 70673433328 106010149992 212020299984