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216414772 = 22721104157
BaseRepresentation
bin11001110011000…
…11101000110100
3120002020000020221
430321203220310
5420400233042
633250304124
75235331600
oct1471435064
9502200227
10216414772
11101184692
1260588044
1335ab38a2
1420a56500
1513eecd67
hexce63a34

216414772 has 18 divisors (see below), whose sum is σ = 440559042. Its totient is φ = 92749104.

The previous prime is 216414761. The next prime is 216414787. The reversal of 216414772 is 277414612.

It is a happy number.

216414772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 122014116 + 94400656 = 11046^2 + 9716^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 551883 + ... + 552274.

Almost surely, 2216414772 is an apocalyptic number.

It is an amenable number.

216414772 is an abundant number, since it is smaller than the sum of its proper divisors (224144270).

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

216414772 is a wasteful number, since it uses less digits than its factorization.

216414772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104175 (or 1104166 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 216414772 is about 14711.0425191419. The cubic root of 216414772 is about 600.3838025884.

The spelling of 216414772 in words is "two hundred sixteen million, four hundred fourteen thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 196 1104157 2208314 4416628 7729099 15458198 30916396 54103693 108207386 216414772