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215105440 = 25511122219
BaseRepresentation
bin11001101001000…
…11111110100000
3112222202111012011
430310203332200
5420031333230
633202242304
75221236364
oct1464437640
9488674164
10215105440
1110046a9a0
1260056394
1335745934
14207d52a4
1513d3ee2a
hexcd23fa0

215105440 has 48 divisors (see below), whose sum is σ = 554389920. Its totient is φ = 78219520.

The previous prime is 215105431. The next prime is 215105467. The reversal of 215105440 is 44501512.

215105440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2151054403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59350 + ... + 62869.

It is an arithmetic number, because the mean of its divisors is an integer number (11549790).

Almost surely, 2215105440 is an apocalyptic number.

215105440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215105440 is an abundant number, since it is smaller than the sum of its proper divisors (339284480).

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

215105440 is a wasteful number, since it uses less digits than its factorization.

215105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122245 (or 122237 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 215105440 is about 14666.4733320591. The cubic root of 215105440 is about 599.1705576076.

Adding to 215105440 its reverse (44501512), we get a palindrome (259606952).

The spelling of 215105440 in words is "two hundred fifteen million, one hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 122219 244438 488876 611095 977752 1222190 1344409 1955504 2444380 2688818 3911008 4888760 5377636 6722045 9777520 10755272 13444090 19555040 21510544 26888180 43021088 53776360 107552720 215105440