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2230994340 = 223451377157
BaseRepresentation
bin1000010011111010…
…0100010110100100
312202111000020220000
42010332210112210
514032113304330
61005213541300
7106200065451
oct20476442644
95674006800
102230994340
11a4537a083
125231a4830
132972940c3
14172428828
15d0ce0560
hex84fa45a4

2230994340 has 60 divisors (see below), whose sum is σ = 6998716956. Its totient is φ = 594931392.

The previous prime is 2230994323. The next prime is 2230994393. The reversal of 2230994340 is 434990322.

2230994340 is a `hidden beast` number, since 2 + 2 + 309 + 9 + 4 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1119705444 + 1111288896 = 33462^2 + 33336^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×22309943403 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 2230994295 and 2230994304.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 686959 + ... + 690198.

Almost surely, 22230994340 is an apocalyptic number.

2230994340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230994340 is an abundant number, since it is smaller than the sum of its proper divisors (4767722616).

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

2230994340 is a wasteful number, since it uses less digits than its factorization.

2230994340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377178 (or 1377167 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2230994340 is about 47233.4027992902. The cubic root of 2230994340 is about 1306.6707099637.

The spelling of 2230994340 in words is "two billion, two hundred thirty million, nine hundred ninety-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1377157 2754314 4131471 5508628 6885785 8262942 12394413 13771570 16525884 20657355 24788826 27543140 37183239 41314710 49577652 61972065 74366478 82629420 111549717 123944130 148732956 185916195 223099434 247888260 371832390 446198868 557748585 743664780 1115497170 2230994340