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10814220 = 2232573823
BaseRepresentation
bin101001010000…
…001100001100
3202100102022200
4221100030030
510232023340
61023441500
7160630224
oct51201414
922312280
1010814220
11611697a
123756290
132318361
141617084
15e39330
hexa5030c

10814220 has 72 divisors (see below), whose sum is σ = 33292896. Its totient is φ = 2840832.

The previous prime is 10814203. The next prime is 10814233. The reversal of 10814220 is 2241801.

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 = 10814193 and 10814202.

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, 12729 + ... + 13551.

Almost surely, 210814220 is an apocalyptic number.

10814220 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 10814220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16646448).

10814220 is an abundant number, since it is smaller than the sum of its proper divisors (22478676).

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

10814220 is a wasteful number, since it uses less digits than its factorization.

10814220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10814220 is about 3288.4981374482. The cubic root of 10814220 is about 221.1388602012.

The spelling of 10814220 in words is "ten million, eight hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 823 876 1095 1314 1460 1646 2190 2469 2628 3285 3292 4115 4380 4938 6570 7407 8230 9876 12345 13140 14814 16460 24690 29628 37035 49380 60079 74070 120158 148140 180237 240316 300395 360474 540711 600790 720948 901185 1081422 1201580 1802370 2162844 2703555 3604740 5407110 10814220