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220865507072 = 287229607147
BaseRepresentation
bin1100110110110010011…
…1000010111100000000
3210010002111102021020122
43031230213002330000
512104313032211242
6245244134155412
721646152556100
oct3155447027400
9703074367218
10220865507072
1185739903521
123697b4b2b68
1317a9b104472
14a993305200
155b2a1a6ad2
hex336c9c2f00

220865507072 has 108 divisors (see below), whose sum is σ = 530531993880. Its totient is φ = 91392473088.

The previous prime is 220865507069. The next prime is 220865507131. The reversal of 220865507072 is 270705568022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60203 + ... + 667349.

Almost surely, 2220865507072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220865507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265265996940).

220865507072 is an abundant number, since it is smaller than the sum of its proper divisors (309666486808).

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

220865507072 is an equidigital number, since it uses as much as digits as its factorization.

220865507072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607206 (or 607185 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 44.

The spelling of 220865507072 in words is "two hundred twenty billion, eight hundred sixty-five million, five hundred seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 256 392 406 448 464 784 812 896 928 1421 1568 1624 1792 1856 2842 3136 3248 3712 5684 6272 6496 7424 11368 12544 12992 22736 25984 45472 51968 90944 181888 363776 607147 1214294 2428588 4250029 4857176 8500058 9714352 17000116 17607263 19428704 29750203 34000232 35214526 38857408 59500406 68000464 70429052 77714816 119000812 123250841 136000928 140858104 155429632 238001624 246501682 272001856 281716208 476003248 493003364 544003712 563432416 862755887 952006496 986006728 1088007424 1126864832 1725511774 1904012992 1972013456 2253729664 3451023548 3808025984 3944026912 4507459328 6902047096 7616051968 7888053824 13804094192 15776107648 27608188384 31552215296 55216376768 110432753536 220865507072