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38042220 = 2235837639
BaseRepresentation
bin1001000100011…
…1101001101100
32122120202010010
42101013221230
534214322340
63435213220
7641232156
oct221075154
978522103
1038042220
111a523757
12108a7210
137b5c6b8
1450a3ad6
153516b80
hex2447a6c

38042220 has 48 divisors (see below), whose sum is σ = 107815680. Its totient is φ = 10021056.

The previous prime is 38042201. The next prime is 38042227. The reversal of 38042220 is 2224083.

It is not an unprimeable number, because it can be changed into a prime (38042227) 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, 1161 + ... + 8799.

It is an arithmetic number, because the mean of its divisors is an integer number (2246160).

Almost surely, 238042220 is an apocalyptic number.

38042220 is a gapful number since it is divisible by the number (30) 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 38042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53907840).

38042220 is an abundant number, since it is smaller than the sum of its proper divisors (69773460).

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

38042220 is a wasteful number, since it uses less digits than its factorization.

38042220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7734 (or 7732 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 38042220 is about 6167.8375464988. The cubic root of 38042220 is about 336.3220056497.

The spelling of 38042220 in words is "thirty-eight million, forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 7639 15278 22917 30556 38195 45834 76390 91668 114585 152780 229170 458340 634037 1268074 1902111 2536148 3170185 3804222 6340370 7608444 9510555 12680740 19021110 38042220