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2221325211320 = 2352953257140587
BaseRepresentation
bin100000010100110001010…
…011001101011010111000
321212100121222021111212222
4200110301103031122320
5242343233223230240
64420243540223212
7316325336521565
oct40246123153270
97770558244788
102221325211320
11787071198976
122ba61139ab08
13131615982587
1479726c5b86c
153cbad6dceb5
hex205314cd6b8

2221325211320 has 128 divisors (see below), whose sum is σ = 5288414443200. Its totient is φ = 838423412736.

The previous prime is 2221325211307. The next prime is 2221325211337. The reversal of 2221325211320 is 231125231222.

It is a happy number.

It is a super-2 number, since 2×22213252113202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2221325211320.

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, 15730067 + ... + 15870653.

Almost surely, 22221325211320 is an apocalyptic number.

2221325211320 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 2221325211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644207221600).

2221325211320 is an abundant number, since it is smaller than the sum of its proper divisors (3067089231880).

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

2221325211320 is a wasteful number, since it uses less digits than its factorization.

2221325211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140937 (or 140933 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 2221325211320 in words is "two trillion, two hundred twenty-one billion, three hundred twenty-five million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 257 265 290 424 514 530 580 1028 1060 1160 1285 1537 2056 2120 2570 3074 5140 6148 7453 7685 10280 12296 13621 14906 15370 27242 29812 30740 37265 54484 59624 61480 68105 74530 108968 136210 140587 149060 272420 281174 298120 395009 544840 562348 702935 790018 1124696 1405870 1580036 1975045 2811740 3160072 3950090 4077023 5623480 7451111 7900180 8154046 14902222 15800360 16308092 20385115 29804444 32616184 36130859 37255555 40770230 59608888 72261718 74511110 81540460 144523436 149022220 163080920 180654295 216082219 289046872 298044440 361308590 432164438 722617180 864328876 1047794911 1080411095 1445234360 1728657752 1914935527 2095589822 2160822190 3829871054 4191179644 4321644380 5238974555 7659742108 8382359288 8643288760 9574677635 10477949110 15319484216 19149355270 20955898220 38298710540 41911796440 55533130283 76597421080 111066260566 222132521132 277665651415 444265042264 555331302830 1110662605660 2221325211320