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42203220 = 22351036829
BaseRepresentation
bin1010000011111…
…1100001010100
32221102010221020
42200333201110
541301000340
64104321140
71021502313
oct240774124
987363836
1042203220
11219059a4
12121731b0
138988627
14586827a
153a899d0
hex283f854

42203220 has 48 divisors (see below), whose sum is σ = 119333760. Its totient is φ = 11143296.

The previous prime is 42203219. The next prime is 42203221. The reversal of 42203220 is 2230224.

42203220 = T1347 + T1348 + ... + T1391.

It is an interprime number because it is at equal distance from previous prime (42203219) and next prime (42203221).

It is a super-2 number, since 2×422032202 = 3562223556736800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42203220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42203221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2766 + ... + 9594.

It is an arithmetic number, because the mean of its divisors is an integer number (2486120).

Almost surely, 242203220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59666880).

42203220 is an abundant number, since it is smaller than the sum of its proper divisors (77130540).

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

42203220 is a wasteful number, since it uses less digits than its factorization.

42203220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42203220 is about 6496.4005418385. The cubic root of 42203220 is about 348.1623961301.

Adding to 42203220 its reverse (2230224), we get a palindrome (44433444).

The spelling of 42203220 in words is "forty-two million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 6829 13658 20487 27316 34145 40974 68290 81948 102435 136580 204870 409740 703387 1406774 2110161 2813548 3516935 4220322 7033870 8440644 10550805 14067740 21101610 42203220