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10238220 = 22325232473
BaseRepresentation
bin100111000011…
…100100001100
3201021011012100
4213003210030
510110110340
61003235100
7153011016
oct47034414
921234170
1010238220
115863143
123518a90
132176125
1415071b6
15d73830
hex9c390c

10238220 has 72 divisors (see below), whose sum is σ = 32419296. Its totient is φ = 2610432.

The previous prime is 10238219. The next prime is 10238231. The reversal of 10238220 is 2283201.

It is a happy number.

It is a super-2 number, since 2×102382202 = 209642297536800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10238193 and 10238202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2904 + ... + 5376.

It is an arithmetic number, because the mean of its divisors is an integer number (450268).

Almost surely, 210238220 is an apocalyptic number.

10238220 is a gapful number since it is divisible by the number (10) 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 10238220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16209648).

10238220 is an abundant number, since it is smaller than the sum of its proper divisors (22181076).

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

10238220 is a wasteful number, since it uses less digits than its factorization.

10238220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10238220 is about 3199.7218629125. The cubic root of 10238220 is about 217.1408261418.

The spelling of 10238220 in words is "ten million, two hundred thirty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 2473 4140 4946 7419 9892 12365 14838 22257 24730 29676 37095 44514 49460 56879 74190 89028 111285 113758 148380 170637 222570 227516 284395 341274 445140 511911 568790 682548 853185 1023822 1137580 1706370 2047644 2559555 3412740 5119110 10238220