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212270851968 = 2737174645283
BaseRepresentation
bin1100010110110001010…
…1000010011110000000
3202021220112001112220020
43011230111002132000
511434212314230333
6241303233013440
721223161320430
oct3055425023600
9667815045806
10212270851968
11820293a897a
12351810b4280
131702b617526
14a3b9a862c0
1557c58973b3
hex316c542780

212270851968 has 128 divisors (see below), whose sum is σ = 682299313920. Its totient is φ = 57081225216.

The previous prime is 212270851967. The next prime is 212270852039. The reversal of 212270851968 is 869158072212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 212270851968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212270851967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2276946 + ... + 2368337.

It is an arithmetic number, because the mean of its divisors is an integer number (5330463390).

Almost surely, 2212270851968 is an apocalyptic number.

212270851968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212270851968 is an abundant number, since it is smaller than the sum of its proper divisors (470028461952).

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

212270851968 is a wasteful number, since it uses less digits than its factorization.

212270851968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645324 (or 4645312 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 212270851968 in words is "two hundred twelve billion, two hundred seventy million, eight hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 15232 22848 45696 4645283 9290566 13935849 18581132 27871698 32516981 37162264 55743396 65033962 74324528 78969811 97550943 111486792 130067924 148649056 157939622 195101886 222973584 236909433 260135848 297298112 315879244 390203772 445947168 473818866 520271696 552788677 594596224 631758488 780407544 891894336 947637732 1040543392 1105577354 1263516976 1560815088 1658366031 1783788672 1895275464 2081086784 2211154708 2527033952 3121630176 3316732062 3790550928 4162173568 4422309416 5054067904 6243260352 6633464124 7581101856 8844618832 10108135808 12486520704 13266928248 15162203712 17689237664 26533856496 30324407424 35378475328 53067712992 70756950656 106135425984 212270851968