Search a number
-
+
222511230540240 = 24358327141218607
BaseRepresentation
bin110010100101111101101110…
…110110101101100111010000
31002011211212101020101200102120
4302211331232312231213100
5213131111000004241430
62105124125333214240
764603622502623025
oct6245755666554720
91064755336350376
10222511230540240
1164998534869784
1220b58200a91380
13972094686a515
143cd385b2b754c
151aad063963610
hexca5f6edad9d0

222511230540240 has 160 divisors (see below), whose sum is σ = 700671490154496. Its totient is φ = 58405115957760.

The previous prime is 222511230540233. The next prime is 222511230540257. The reversal of 222511230540240 is 42045032115222.

It is a super-2 number, since 2×2225112305402402 (a number of 29 digits) contains 22 as substring.

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, 15210984 + ... + 26007623.

Almost surely, 2222511230540240 is an apocalyptic number.

222511230540240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222511230540240 is an abundant number, since it is smaller than the sum of its proper divisors (478160259614256).

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

222511230540240 is a wasteful number, since it uses less digits than its factorization.

222511230540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41218977 (or 41218971 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 222511230540240 its reverse (42045032115222), we get a palindrome (264556262655462).

The spelling of 222511230540240 in words is "two hundred twenty-two trillion, five hundred eleven billion, two hundred thirty million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 271 332 415 498 542 664 813 830 996 1084 1245 1328 1355 1626 1660 1992 2168 2490 2710 3252 3320 3984 4065 4336 4980 5420 6504 6640 8130 9960 10840 13008 16260 19920 21680 22493 32520 44986 65040 67479 89972 112465 134958 179944 224930 269916 337395 359888 449860 539832 674790 899720 1079664 1349580 1799440 2699160 5398320 41218607 82437214 123655821 164874428 206093035 247311642 329748856 412186070 494623284 618279105 659497712 824372140 989246568 1236558210 1648744280 1978493136 2473116420 3297488560 3421144381 4946232840 6842288762 9892465680 10263433143 11170242497 13684577524 17105721905 20526866286 22340484994 27369155048 33510727491 34211443810 41053732572 44680969988 51317165715 54738310096 55851212485 67021454982 68422887620 82107465144 89361939976 102634331430 111702424970 134042909964 136845775240 164214930288 167553637455 178723879952 205268662860 223404849940 268085819928 273691550480 335107274910 410537325720 446809699880 536171639856 670214549820 821074651440 893619399760 927130127251 1340429099640 1854260254502 2680858199280 2781390381753 3708520509004 4635650636255 5562780763506 7417041018008 9271301272510 11125561527012 13906951908765 14834082036016 18542602545020 22251123054024 27813903817530 37085205090040 44502246108048 55627807635060 74170410180080 111255615270120 222511230540240