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245215620 = 223351322687
BaseRepresentation
bin11101001110110…
…11000110000100
3122002102020121000
432213123012010
51000233344440
640155453300
76035204226
oct1647330604
9562366530
10245215620
11116466141
126a157230
133ba58b00
14247d2416
15167db730
hexe9db184

245215620 has 144 divisors (see below), whose sum is σ = 826398720. Its totient is φ = 60338304.

The previous prime is 245215609. The next prime is 245215661. The reversal of 245215620 is 26512542.

245215620 is a `hidden beast` number, since 24 + 5 + 2 + 15 + 620 = 666.

245215620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 89917 + ... + 92603.

It is an arithmetic number, because the mean of its divisors is an integer number (5738880).

Almost surely, 2245215620 is an apocalyptic number.

245215620 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 245215620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413199360).

245215620 is an abundant number, since it is smaller than the sum of its proper divisors (581183100).

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

245215620 is a wasteful number, since it uses less digits than its factorization.

245215620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 245215620 is about 15659.3620559715. The cubic root of 245215620 is about 625.9159859624.

The spelling of 245215620 in words is "two hundred forty-five million, two hundred fifteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 2687 3042 3380 3510 4563 5070 5374 6084 7020 7605 8061 9126 10140 10748 13435 15210 16122 18252 22815 24183 26870 30420 32244 34931 40305 45630 48366 53740 69862 72549 80610 91260 96732 104793 120915 139724 145098 161220 174655 209586 241830 290196 314379 349310 362745 419172 454103 483660 523965 628758 698620 725490 908206 943137 1047930 1257516 1362309 1450980 1571895 1816412 1886274 2095860 2270515 2724618 3143790 3772548 4086927 4541030 4715685 5449236 6287580 6811545 8173854 9082060 9431370 12260781 13623090 16347708 18862740 20434635 24521562 27246180 40869270 49043124 61303905 81738540 122607810 245215620