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212050432 = 2911231637
BaseRepresentation
bin11001010001110…
…10001000000000
3112210000021111201
430220322020000
5413241103212
633012550544
75153253556
oct1450721000
9483007451
10212050432
11a97736a0
125b022454
1334c16239
142023bbd6
1513939b57
hexca3a200

212050432 has 80 divisors (see below), whose sum is σ = 482594112. Its totient is φ = 92139520.

The previous prime is 212050387. The next prime is 212050463. The reversal of 212050432 is 234050212.

It is a super-2 number, since 2×2120504322 = 89930771422773248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128718 + ... + 130354.

Almost surely, 2212050432 is an apocalyptic number.

212050432 is a gapful number since it is divisible by the number (22) 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 212050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056).

212050432 is an abundant number, since it is smaller than the sum of its proper divisors (270543680).

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

212050432 is a wasteful number, since it uses less digits than its factorization.

212050432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 212050432 is about 14561.9515175680. The cubic root of 212050432 is about 596.3204738649.

The spelling of 212050432 in words is "two hundred twelve million, fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 512 704 736 1012 1408 1472 1637 2024 2816 2944 3274 4048 5632 5888 6548 8096 11776 13096 16192 18007 26192 32384 36014 37651 52384 64768 72028 75302 104768 129536 144056 150604 209536 288112 301208 414161 419072 576224 602416 828322 838144 1152448 1204832 1656644 2304896 2409664 3313288 4609792 4819328 6626576 9219584 9638656 13253152 19277312 26506304 53012608 106025216 212050432