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212972496 = 243112511607
BaseRepresentation
bin11001011000110…
…11001111010000
3112211202010100020
430230123033100
5414010104441
633044423440
75164144032
oct1454331720
9484663306
10212972496
11aa243430
125b3a7b80
1335179b39
14203dbc52
1513a6ce66
hexcb1b3d0

212972496 has 80 divisors (see below), whose sum is σ = 602961408. Its totient is φ = 64240000.

The previous prime is 212972483. The next prime is 212972503. The reversal of 212972496 is 694279212.

212972496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131725 + ... + 133331.

Almost surely, 2212972496 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 212972496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301480704).

212972496 is an abundant number, since it is smaller than the sum of its proper divisors (389988912).

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

212972496 is a wasteful number, since it uses less digits than its factorization.

212972496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1874 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 212972496 is about 14593.5772173926. The cubic root of 212972496 is about 597.1835556437.

The spelling of 212972496 in words is "two hundred twelve million, nine hundred seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 251 264 502 528 753 1004 1506 1607 2008 2761 3012 3214 4016 4821 5522 6024 6428 8283 9642 11044 12048 12856 16566 17677 19284 22088 25712 33132 35354 38568 44176 53031 66264 70708 77136 106062 132528 141416 212124 282832 403357 424248 806714 848496 1210071 1613428 2420142 3226856 4436927 4840284 6453712 8873854 9680568 13310781 17747708 19361136 26621562 35495416 53243124 70990832 106486248 212972496