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2220887040 = 21035144589
BaseRepresentation
bin1000010001100000…
…0000110000000000
312201202222202021120
42010120000300000
514022021341130
61004213152240
7106015141221
oct20430006000
95652882246
102220887040
11a3a6a6339
1251b92b680
13295165758
14170d57248
15cee95910
hex84600c00

2220887040 has 88 divisors (see below), whose sum is σ = 7103417520. Its totient is φ = 592232448.

The previous prime is 2220887003. The next prime is 2220887051. The reversal of 2220887040 is 407880222.

It is a junction number, because it is equal to n+sod(n) for n = 2220886992 and 2220887010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56935 + ... + 87654.

Almost surely, 22220887040 is an apocalyptic number.

2220887040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220887040 is an abundant number, since it is smaller than the sum of its proper divisors (4882530480).

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

2220887040 is a wasteful number, since it uses less digits than its factorization.

2220887040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144617 (or 144599 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2220887040 is about 47126.2882052045. The cubic root of 2220887040 is about 1304.6944749452.

The spelling of 2220887040 in words is "two billion, two hundred twenty million, eight hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 144589 289178 433767 578356 722945 867534 1156712 1445890 1735068 2168835 2313424 2891780 3470136 4337670 4626848 5783560 6940272 8675340 9253696 11567120 13880544 17350680 18507392 23134240 27761088 34701360 37014784 46268480 55522176 69402720 74029568 92536960 111044352 138805440 148059136 185073920 222088704 277610880 370147840 444177408 555221760 740295680 1110443520 2220887040