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221221200440 = 23543791628063
BaseRepresentation
bin1100111000000111001…
…1111010001000111000
3210011000021201100211002
43032001303322020320
512111030111403230
6245343322024132
721661032115022
oct3160163721070
9704007640732
10221221200440
1185901667189
1236a5a648048
1317b26a01c06
14a9c8655012
155b4b517545
hex3381cfa238

221221200440 has 64 divisors (see below), whose sum is σ = 515770675200. Its totient is φ = 85336497792.

The previous prime is 221221200427. The next prime is 221221200509. The reversal of 221221200440 is 44002122122.

It is a super-2 number, since 2×2212212004402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678152 + ... + 949911.

It is an arithmetic number, because the mean of its divisors is an integer number (8058916800).

Almost surely, 2221221200440 is an apocalyptic number.

221221200440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221200440 is an abundant number, since it is smaller than the sum of its proper divisors (294549474760).

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

221221200440 is a wasteful number, since it uses less digits than its factorization.

221221200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628196 (or 1628192 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 221221200440 its reverse (44002122122), we get a palindrome (265223322562).

The spelling of 221221200440 in words is "two hundred twenty-one billion, two hundred twenty-one million, two hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 79 86 158 172 215 316 344 395 430 632 790 860 1580 1720 3160 3397 6794 13588 16985 27176 33970 67940 135880 1628063 3256126 6512252 8140315 13024504 16280630 32561260 65122520 70006709 128616977 140013418 257233954 280026836 350033545 514467908 560053672 643084885 700067090 1028935816 1286169770 1400134180 2572339540 2800268360 5144679080 5530530011 11061060022 22122120044 27652650055 44244240088 55305300110 110610600220 221221200440