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250220628 = 223277191381
BaseRepresentation
bin11101110101000…
…01000001010100
3122102211112011200
432322201001110
51003024030003
640455032500
76125561130
oct1672410124
9572745150
10250220628
11119274509
126b96b730
133cabbc58
14253363c0
1516e796a3
hexeea1054

250220628 has 72 divisors (see below), whose sum is σ = 724389120. Its totient is φ = 71340480.

The previous prime is 250220627. The next prime is 250220639. The reversal of 250220628 is 826022052.

It is a super-3 number, since 3×2502206283 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250220627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180498 + ... + 181878.

It is an arithmetic number, because the mean of its divisors is an integer number (10060960).

Almost surely, 2250220628 is an apocalyptic number.

250220628 is a gapful number since it is divisible by the number (28) 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 250220628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362194560).

250220628 is an abundant number, since it is smaller than the sum of its proper divisors (474168492).

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

250220628 is a wasteful number, since it uses less digits than its factorization.

250220628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 250220628 is about 15818.3636321840. The cubic root of 250220628 is about 630.1457863672.

The spelling of 250220628 in words is "two hundred fifty million, two hundred twenty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 719 1381 1438 2157 2762 2876 4143 4314 5033 5524 6471 8286 8628 9667 10066 12429 12942 15099 16572 19334 20132 24858 25884 29001 30198 38668 45297 49716 58002 60396 87003 90594 116004 174006 181188 348012 992939 1985878 2978817 3971756 5957634 6950573 8936451 11915268 13901146 17872902 20851719 27802292 35745804 41703438 62555157 83406876 125110314 250220628