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212996472 = 233135871163
BaseRepresentation
bin11001011001000…
…01000101111000
3112211210100020020
430230201011320
5414011341342
633045130440
75164303653
oct1454410570
9484710206
10212996472
11aa25a447
125b3b9a20
1335187a20
142040689a
1513a750ec
hexcb21178

212996472 has 64 divisors (see below), whose sum is σ = 574922880. Its totient is φ = 65369472.

The previous prime is 212996461. The next prime is 212996477. The reversal of 212996472 is 274699212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212996477) 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, 182563 + ... + 183725.

It is an arithmetic number, because the mean of its divisors is an integer number (8983170).

Almost surely, 2212996472 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 212996472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287461440).

212996472 is an abundant number, since it is smaller than the sum of its proper divisors (361926408).

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

212996472 is a wasteful number, since it uses less digits than its factorization.

212996472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1768 counting only the distinct ones).

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

The square root of 212996472 is about 14594.3986515375. The cubic root of 212996472 is about 597.2059646964.

The spelling of 212996472 in words is "two hundred twelve million, nine hundred ninety-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 587 1163 1174 1761 2326 2348 3489 3522 4652 4696 6978 7044 7631 9304 13956 14088 15119 15262 22893 27912 30238 30524 45357 45786 60476 61048 90714 91572 120952 181428 183144 362856 682681 1365362 2048043 2730724 4096086 5461448 8192172 8874853 16384344 17749706 26624559 35499412 53249118 70998824 106498236 212996472