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2240556150 = 235277329231
BaseRepresentation
bin1000010110001100…
…0010110001110110
312210011000001020010
42011203002301312
514042040244100
61010154521050
7106344261450
oct20543026166
95704001203
102240556150
11a4a80aaa8
12526436186
13299261391
141737d72d0
15d1a7d750
hex858c2c76

2240556150 has 96 divisors (see below), whose sum is σ = 6437587968. Its totient is φ = 505094400.

The previous prime is 2240556121. The next prime is 2240556161. The reversal of 2240556150 is 516550422.

2240556150 = T336 + T337 + ... + T2379.

It is a super-2 number, since 2×22405561502 = 10040183722605645000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62035 + ... + 91265.

It is an arithmetic number, because the mean of its divisors is an integer number (67058208).

Almost surely, 22240556150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240556150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218793984).

2240556150 is an abundant number, since it is smaller than the sum of its proper divisors (4197031818).

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

2240556150 is a wasteful number, since it uses less digits than its factorization.

2240556150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29326 (or 29321 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 2240556150 is about 47334.5133068885. The cubic root of 2240556150 is about 1308.5348010392.

The spelling of 2240556150 in words is "two billion, two hundred forty million, five hundred fifty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 73 75 105 146 150 175 210 219 350 365 438 511 525 730 1022 1050 1095 1533 1825 2190 2555 3066 3650 5110 5475 7665 10950 12775 15330 25550 29231 38325 58462 76650 87693 146155 175386 204617 292310 409234 438465 613851 730775 876930 1023085 1227702 1461550 2046170 2133863 2192325 3069255 4267726 4384650 5115425 6138510 6401589 10230850 10669315 12803178 14937041 15346275 21338630 29874082 30692550 32007945 44811123 53346575 64015890 74685205 89622246 106693150 149370410 160039725 224055615 320079450 373426025 448111230 746852050 1120278075 2240556150