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212151104 = 2611319721
BaseRepresentation
bin11001010010100…
…10101101000000
3112210012101121022
430221102231000
5413302313404
633015045012
75154153224
oct1451225500
9483171538
10212151104
11a98322a0
125b070768
1334c4ccc9
1420266784
15139598be
hexca52b40

212151104 has 56 divisors (see below), whose sum is σ = 474122496. Its totient is φ = 93312000.

The previous prime is 212151089. The next prime is 212151127. The reversal of 212151104 is 401151212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16964 + ... + 26684.

Almost surely, 2212151104 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 212151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237061248).

212151104 is an abundant number, since it is smaller than the sum of its proper divisors (261971392).

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

212151104 is a wasteful number, since it uses less digits than its factorization.

212151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9775 (or 9765 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 212151104 is about 14565.4077869451. The cubic root of 212151104 is about 596.4148276411.

The spelling of 212151104 in words is "two hundred twelve million, one hundred fifty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1984 2728 5456 9721 10912 19442 21824 38884 77768 106931 155536 213862 301351 311072 427724 602702 622144 855448 1205404 1710896 2410808 3314861 3421792 4821616 6629722 6843584 9643232 13259444 19286464 26518888 53037776 106075552 212151104