Search a number
-
+
2212140042320 = 2451319234867409
BaseRepresentation
bin100000001100001101110…
…100100100100001010000
321211110220211202120202112
4200030031310210201100
5242220430322323240
64412124302204452
7315551615053325
oct40141564444120
97743824676675
102212140042320
1178318842450a
122b8889283728
131307b0a3b730
14790d5004b4c
153c822136665
hex2030dd24850

2212140042320 has 160 divisors (see below), whose sum is σ = 6083873107200. Its totient is φ = 740157530112.

The previous prime is 2212140042253. The next prime is 2212140042367. The reversal of 2212140042320 is 232400412122.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1979225 + ... + 2888184.

It is an arithmetic number, because the mean of its divisors is an integer number (38024206920).

Almost surely, 22212140042320 is an apocalyptic number.

2212140042320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212140042320 is an abundant number, since it is smaller than the sum of its proper divisors (3871733064880).

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

2212140042320 is a wasteful number, since it uses less digits than its factorization.

2212140042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867477 (or 4867471 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2212140042320 its reverse (232400412122), we get a palindrome (2444540454442).

The spelling of 2212140042320 in words is "two trillion, two hundred twelve billion, one hundred forty million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 23 26 38 40 46 52 65 76 80 92 95 104 115 130 152 184 190 208 230 247 260 299 304 368 380 437 460 494 520 598 760 874 920 988 1040 1196 1235 1495 1520 1748 1840 1976 2185 2392 2470 2990 3496 3952 4370 4784 4940 5681 5980 6992 8740 9880 11362 11960 17480 19760 22724 23920 28405 34960 45448 56810 90896 113620 227240 454480 4867409 9734818 19469636 24337045 38939272 48674090 63276317 77878544 92480771 97348180 111950407 126552634 184961542 194696360 223900814 253105268 316381585 369923084 389392720 447801628 462403855 506210536 559752035 632763170 739846168 895603256 924807710 1012421072 1119504070 1202250023 1265526340 1455355291 1479692336 1791206512 1849615420 2127057733 2239008140 2404500046 2531052680 2910710582 3699230840 4254115466 4478016280 4809000092 5062105360 5821421164 6011250115 7276776455 7398461680 8508230932 8956032560 9618000184 10635288665 11642842328 12022500230 14553552910 17016461864 19236000368 21270577330 23285684656 24045000460 27651750529 29107105820 34032923728 42541154660 48090000920 55303501058 58214211640 85082309320 96180001840 110607002116 116428423280 138258752645 170164618640 221214004232 276517505290 442428008464 553035010580 1106070021160 2212140042320