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212772945 = 35721126317
BaseRepresentation
bin11001010111010…
…10100001010001
3112211100222121110
430223222201101
5413432213240
633040243533
75162353200
oct1453524121
9484328543
10212772945
11aa117510
125b3105a9
133510a068
1420389237
1513a2dc80
hexcaea851

212772945 has 48 divisors (see below), whose sum is σ = 432036288. Its totient is φ = 88421760.

The previous prime is 212772943. The next prime is 212772947. The reversal of 212772945 is 549277212.

It is an interprime number because it is at equal distance from previous prime (212772943) and next prime (212772947).

It is not a de Polignac number, because 212772945 - 21 = 212772943 is a prime.

It is a super-2 number, since 2×2127729452 = 90544652247946050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212772943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5074 + ... + 21243.

It is an arithmetic number, because the mean of its divisors is an integer number (9000756).

Almost surely, 2212772945 is an apocalyptic number.

It is an amenable number.

212772945 is an abundant number, since it is smaller than the sum of its proper divisors (219263343).

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

212772945 is a wasteful number, since it uses less digits than its factorization.

212772945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26350 (or 26343 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 212772945 is about 14586.7386690788. The cubic root of 212772945 is about 596.9969809813.

The spelling of 212772945 in words is "two hundred twelve million, seven hundred seventy-two thousand, nine hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 26317 78951 131585 184219 289487 394755 552657 868461 921095 1289533 1447435 2026409 2763285 3868599 4342305 6079227 6447665 10132045 14184863 19342995 30396135 42554589 70924315 212772945