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244550020 = 2251113372311
BaseRepresentation
bin11101001001110…
…00100110000100
3122001011102120011
432210320212010
51000101100040
640133320004
76026432551
oct1644704604
9561142504
10244550020
11116051060
1269a96004
133b884b70
142469ba28
15167093ea
hexe938984

244550020 has 96 divisors (see below), whose sum is σ = 619911936. Its totient is φ = 79833600.

The previous prime is 244549997. The next prime is 244550023. The reversal of 244550020 is 20055442.

It is a super-4 number, since 4×2445500204 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 244549973 and 244550000.

It is not an unprimeable number, because it can be changed into a prime (244550023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104665 + ... + 106975.

It is an arithmetic number, because the mean of its divisors is an integer number (6457416).

Almost surely, 2244550020 is an apocalyptic number.

244550020 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 244550020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309955968).

244550020 is an abundant number, since it is smaller than the sum of its proper divisors (375361916).

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

244550020 is a wasteful number, since it uses less digits than its factorization.

244550020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 244550020 is about 15638.0951525434. The cubic root of 244550020 is about 625.3491553086.

The spelling of 244550020 in words is "two hundred forty-four million, five hundred fifty thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 37 44 52 55 65 74 110 130 143 148 185 220 260 286 370 407 481 572 715 740 814 962 1430 1628 1924 2035 2311 2405 2860 4070 4622 4810 5291 8140 9244 9620 10582 11555 21164 23110 25421 26455 30043 46220 50842 52910 60086 85507 101684 105820 120172 127105 150215 171014 254210 300430 330473 342028 427535 508420 600860 660946 855070 940577 1111591 1321892 1652365 1710140 1881154 2223182 3304730 3762308 4446364 4702885 5557955 6609460 9405770 11115910 12227501 18811540 22231820 24455002 48910004 61137505 122275010 244550020