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2201410680 = 2335719137933
BaseRepresentation
bin1000001100110110…
…1101110001111000
312200102100020201220
42003031231301320
514002030120210
61002235512040
7105360452640
oct20315556170
95612306656
102201410680
11a2a703477
125152b8620
13291106791
1416c527520
15cd3e9c70
hex8336dc78

2201410680 has 128 divisors (see below), whose sum is σ = 7944998400. Its totient is φ = 476692992.

The previous prime is 2201410669. The next prime is 2201410697. The reversal of 2201410680 is 860141022.

2201410680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2201410680.

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, 53007 + ... + 84926.

It is an arithmetic number, because the mean of its divisors is an integer number (62070300).

Almost surely, 22201410680 is an apocalyptic number.

2201410680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201410680 is an abundant number, since it is smaller than the sum of its proper divisors (5743587720).

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

2201410680 is a wasteful number, since it uses less digits than its factorization.

2201410680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137973 (or 137969 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2201410680 is about 46919.1930876907. The cubic root of 2201410680 is about 1300.8693750832.

The spelling of 2201410680 in words is "two billion, two hundred one million, four hundred ten thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 137933 275866 413799 551732 689665 827598 965531 1103464 1379330 1655196 1931062 2068995 2620727 2758660 2896593 3310392 3862124 4137990 4827655 5241454 5517320 5793186 7724248 7862181 8275980 9655310 10482908 11586372 13103635 14482965 15724362 16551960 18345089 19310620 20965816 23172744 26207270 28965930 31448724 36690178 38621240 39310905 52414540 55035267 57931860 62897448 73380356 78621810 91725445 104829080 110070534 115863720 146760712 157243620 183450890 220141068 275176335 314487240 366901780 440282136 550352670 733803560 1100705340 2201410680