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229214967696 = 2436112132312
BaseRepresentation
bin1101010101111001000…
…1101101011110010000
3210220122101101211000000
43111132101231132100
512223413012431241
6253144440130000
722363106035641
oct3253621553620
9726571354000
10229214967696
1189233967900
123850b766900
13187cbb72100
14b1461796c8
155e681d0eb6
hex355e46d790

229214967696 has 945 divisors, whose sum is σ = 818905588641. Its totient is φ = 62047814400.

The previous prime is 229214967659. The next prime is 229214967731. The reversal of 229214967696 is 696769412922.

The square root of 229214967696 is 478764.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33907539600 + 195307428096 = 184140^2 + 441936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 7394031201 + ... + 7394031231.

Almost surely, 2229214967696 is an apocalyptic number.

229214967696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

229214967696 is the 478764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229214967696

229214967696 is an abundant number, since it is smaller than the sum of its proper divisors (589690620945).

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

229214967696 is a wasteful number, since it uses less digits than its factorization.

229214967696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 60 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 229214967696 in words is "two hundred twenty-nine billion, two hundred fourteen million, nine hundred sixty-seven thousand, six hundred ninety-six".