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2202055540 = 22519103127443
BaseRepresentation
bin1000001101000000…
…1011001101110100
312200110120000022121
42003100023031310
514002211234130
61002301405324
7105366106666
oct20320131564
95613500277
102202055540
11a30003a13
12515569844
132912a1159
1416c654536
15cd4c5d7a
hex8340b374

2202055540 has 96 divisors (see below), whose sum is σ = 4964843520. Its totient is φ = 818004096.

The previous prime is 2202055529. The next prime is 2202055547. The reversal of 2202055540 is 455502022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202055547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4970559 + ... + 4971001.

It is an arithmetic number, because the mean of its divisors is an integer number (51717120).

Almost surely, 22202055540 is an apocalyptic number.

2202055540 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 2202055540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482421760).

2202055540 is an abundant number, since it is smaller than the sum of its proper divisors (2762787980).

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

2202055540 is a wasteful number, since it uses less digits than its factorization.

2202055540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 2202055540 is about 46926.0646123239. The cubic root of 2202055540 is about 1300.9963840561.

Adding to 2202055540 its reverse (455502022), we get a palindrome (2657557562).

The spelling of 2202055540 in words is "two billion, two hundred two million, fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 127 190 206 254 380 412 443 508 515 635 886 1030 1270 1772 1957 2060 2215 2413 2540 3914 4430 4826 7828 8417 8860 9652 9785 12065 13081 16834 19570 24130 26162 33668 39140 42085 45629 48260 52324 56261 65405 84170 91258 112522 130810 168340 182516 225044 228145 248539 261620 281305 456290 497078 562610 866951 912580 994156 1068959 1125220 1242695 1733902 2137918 2485390 3467804 4275836 4334755 4970780 5344795 5794883 8669510 10689590 11589766 17339020 21379180 23179532 28974415 57948830 110102777 115897660 220205554 440411108 550513885 1101027770 2202055540