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221132040 = 23351842767
BaseRepresentation
bin11010010111000…
…11010100001000
3120102002200010120
431023203110020
5423102211130
633535343240
75323406553
oct1513432410
9512080116
10221132040
11103906858
1262081b20
1336a75a7c
142152369a
1514630910
hexd2e3508

221132040 has 32 divisors (see below), whose sum is σ = 663396480. Its totient is φ = 58968512.

The previous prime is 221132033. The next prime is 221132053. The reversal of 221132040 is 40231122.

It is a super-2 number, since 2×2211320402 = 97798758229123200, which contains 22 as substring.

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

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, 921264 + ... + 921503.

It is an arithmetic number, because the mean of its divisors is an integer number (20731140).

Almost surely, 2221132040 is an apocalyptic number.

221132040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221132040 is an abundant number, since it is smaller than the sum of its proper divisors (442264440).

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

221132040 is a wasteful number, since it uses less digits than its factorization.

221132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842781 (or 1842777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221132040 is about 14870.5090699680. The cubic root of 221132040 is about 604.7147438333.

Adding to 221132040 its reverse (40231122), we get a palindrome (261363162).

The spelling of 221132040 in words is "two hundred twenty-one million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1842767 3685534 5528301 7371068 9213835 11056602 14742136 18427670 22113204 27641505 36855340 44226408 55283010 73710680 110566020 221132040