Search a number
-
+
1050220350 = 233524991559
BaseRepresentation
bin111110100110010…
…001011100111110
32201012011201111000
4332212101130332
54122324022400
6252113511130
735011503624
oct7646213476
92635151430
101050220350
11499905103
122538724a6
1313977197a
149d6a1514
1562301600
hex3e99173e

1050220350 has 96 divisors (see below), whose sum is σ = 2901600000. Its totient is φ = 279318240.

The previous prime is 1050220349. The next prime is 1050220361. The reversal of 1050220350 is 530220501.

It is a happy number.

It is a super-2 number, since 2×10502203502 = 2205925567108245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672871 + ... + 674429.

It is an arithmetic number, because the mean of its divisors is an integer number (30225000).

Almost surely, 21050220350 is an apocalyptic number.

1050220350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050220350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450800000).

1050220350 is an abundant number, since it is smaller than the sum of its proper divisors (1851379650).

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

1050220350 is a wasteful number, since it uses less digits than its factorization.

1050220350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1050220350 is about 32407.1033879920. The cubic root of 1050220350 is about 1016.4674511870.

Adding to 1050220350 its reverse (530220501), we get a palindrome (1580440851).

The spelling of 1050220350 in words is "one billion, fifty million, two hundred twenty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 499 675 998 1350 1497 1559 2495 2994 3118 4491 4677 4990 7485 7795 8982 9354 12475 13473 14031 14970 15590 22455 23385 24950 26946 28062 37425 38975 42093 44910 46770 67365 70155 74850 77950 84186 112275 116925 134730 140310 210465 224550 233850 336825 350775 420930 673650 701550 777941 1052325 1555882 2104650 2333823 3889705 4667646 7001469 7779410 11669115 14002938 19448525 21004407 23338230 35007345 38897050 42008814 58345575 70014690 105022035 116691150 175036725 210044070 350073450 525110175 1050220350