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226629780 = 2235132943233
BaseRepresentation
bin11011000001000…
…01100010010100
3120210102222121120
431200201202110
5431004123110
634253243540
75421215136
oct1540414224
9523388546
10226629780
11106a21343
1263a935b0
1337c4c280
1422155056
1514d69870
hexd821894

226629780 has 192 divisors, whose sum is σ = 726485760. Its totient is φ = 52383744.

The previous prime is 226629779. The next prime is 226629803. The reversal of 226629780 is 87926622.

It is a super-2 number, since 2×2266297802 = 102722114365696800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 972544 + ... + 972776.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2226629780 is an apocalyptic number.

226629780 is a gapful number since it is divisible by the number (20) 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 226629780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

226629780 is an abundant number, since it is smaller than the sum of its proper divisors (499855980).

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

226629780 is a wasteful number, since it uses less digits than its factorization.

226629780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 226629780 is about 15054.2279775484. The cubic root of 226629780 is about 609.6852088956.

The spelling of 226629780 in words is "two hundred twenty-six million, six hundred twenty-nine thousand, seven hundred eighty".