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234137772 = 2232113131889
BaseRepresentation
bin11011111010010…
…10100010101100
3121022120102122100
431331022202230
5434414402042
635122215100
75542065261
oct1575124254
9538512570
10234137772
1111018a1a0
12664b4490
133967a77b
142314b268
151584e24c
hexdf4a8ac

234137772 has 72 divisors (see below), whose sum is σ = 648058320. Its totient is φ = 70686720.

The previous prime is 234137737. The next prime is 234137789. The reversal of 234137772 is 277731432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123004 + ... + 124892.

It is an arithmetic number, because the mean of its divisors is an integer number (9000810).

Almost surely, 2234137772 is an apocalyptic number.

234137772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234137772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324029160).

234137772 is an abundant number, since it is smaller than the sum of its proper divisors (413920548).

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

234137772 is a wasteful number, since it uses less digits than its factorization.

234137772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2218 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 234137772 is about 15301.5610968293. The cubic root of 234137772 is about 616.3449289609.

The spelling of 234137772 in words is "two hundred thirty-four million, one hundred thirty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 313 396 626 939 1252 1878 1889 2817 3443 3756 3778 5634 5667 6886 7556 10329 11268 11334 13772 17001 20658 20779 22668 30987 34002 41316 41558 61974 62337 68004 83116 123948 124674 187011 249348 374022 591257 748044 1182514 1773771 2365028 3547542 5321313 6503827 7095084 10642626 13007654 19511481 21285252 26015308 39022962 58534443 78045924 117068886 234137772