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213768396 = 22342922751
BaseRepresentation
bin11001011110111…
…01100011001100
3112220020120010000
430233131203030
5414211042041
633113444300
75204000322
oct1457354314
9486216100
10213768396
11aa7373a6
125b710690
133539819a
1420567d12
1513b78bb6
hexcbdd8cc

213768396 has 60 divisors (see below), whose sum is σ = 578128320. Its totient is φ = 68796000.

The previous prime is 213768389. The next prime is 213768403. The reversal of 213768396 is 693867312.

It is an interprime number because it is at equal distance from previous prime (213768389) and next prime (213768403).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1980 + ... + 20771.

It is an arithmetic number, because the mean of its divisors is an integer number (9635472).

Almost surely, 2213768396 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 213768396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289064160).

213768396 is an abundant number, since it is smaller than the sum of its proper divisors (364359924).

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

213768396 is a wasteful number, since it uses less digits than its factorization.

213768396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22796 (or 22785 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 213768396 is about 14620.8206336033. The cubic root of 213768396 is about 597.9265428799.

The spelling of 213768396 in words is "two hundred thirteen million, seven hundred sixty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 22751 45502 68253 91004 136506 204759 273012 409518 614277 659779 819036 1228554 1319558 1842831 1979337 2457108 2639116 3685662 3958674 5938011 7371324 7917348 11876022 17814033 23752044 35628066 53442099 71256132 106884198 213768396