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212774980 = 225111496491
BaseRepresentation
bin11001010111010…
…11000001000100
3112211101002101211
430223223001010
5413432244410
633040301204
75162362135
oct1453530104
9484332354
10212774980
11aa118aa0
125b311804
133510ac72
1420389c8c
1513a2e68a
hexcaeb044

212774980 has 48 divisors (see below), whose sum is σ = 490795200. Its totient is φ = 76841600.

The previous prime is 212774971. The next prime is 212774981. The reversal of 212774980 is 89477212.

It is a super-2 number, since 2×2127749802 = 90546384228000800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212774981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29535 + ... + 36025.

It is an arithmetic number, because the mean of its divisors is an integer number (10224900).

Almost surely, 2212774980 is an apocalyptic number.

212774980 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 212774980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245397600).

212774980 is an abundant number, since it is smaller than the sum of its proper divisors (278020220).

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

212774980 is a wasteful number, since it uses less digits than its factorization.

212774980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6660 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 212774980 is about 14586.8084240522. The cubic root of 212774980 is about 596.9988842386.

The spelling of 212774980 in words is "two hundred twelve million, seven hundred seventy-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 745 1490 1639 2980 3278 6491 6556 8195 12982 16390 25964 32455 32780 64910 71401 129820 142802 285604 357005 714010 967159 1428020 1934318 3868636 4835795 9671590 10638749 19343180 21277498 42554996 53193745 106387490 212774980