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2228305536 = 27321934293
BaseRepresentation
bin1000010011010001…
…0011111010000000
312202021221122112200
42010310103322000
514030421234121
61005040153200
7106135166412
oct20464237200
95667848480
102228305536
11a43902a26
12522308800
132968622b2
14171d289b2
15d095da26
hex84d13e80

2228305536 has 48 divisors (see below), whose sum is σ = 6412184610. Its totient is φ = 742768128.

The previous prime is 2228305489. The next prime is 2228305543. The reversal of 2228305536 is 6355038222.

2228305536 is a `hidden beast` number, since 2 + 22 + 83 + 0 + 553 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1616040000 + 612265536 = 40200^2 + 24744^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2228305536.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 965995 + ... + 968298.

Almost surely, 22228305536 is an apocalyptic number.

It is an amenable number.

2228305536 is an abundant number, since it is smaller than the sum of its proper divisors (4183879074).

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

2228305536 is a wasteful number, since it uses less digits than its factorization.

2228305536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934313 (or 1934298 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2228305536 is about 47204.9312678241. The cubic root of 2228305536 is about 1306.1455638794.

The spelling of 2228305536 in words is "two billion, two hundred twenty-eight million, three hundred five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1934293 3868586 5802879 7737172 11605758 15474344 17408637 23211516 30948688 34817274 46423032 61897376 69634548 92846064 123794752 139269096 185692128 247589504 278538192 371384256 557076384 742768512 1114152768 2228305536