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10223013440 = 26573437629
BaseRepresentation
bin10011000010101011…
…01100111001000000
3222101110101220001102
421201111230321000
5131414042412230
64410230353532
7511223115623
oct114125547100
928343356042
1010223013440
114376696342
121b937bb8a8
13c6bc716a3
146cda15dba
153ec761045
hex26156ce40

10223013440 has 56 divisors (see below), whose sum is σ = 24677080440. Its totient is φ = 4033179648.

The previous prime is 10223013413. The next prime is 10223013469. The reversal of 10223013440 is 4431032201.

It can be written as a sum of positive squares in 4 ways, for example, as 2897022976 + 7325990464 = 53824^2 + 85592^2 .

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

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, 195455 + ... + 242174.

Almost surely, 210223013440 is an apocalyptic number.

10223013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223013440 is an abundant number, since it is smaller than the sum of its proper divisors (14454067000).

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

10223013440 is an equidigital number, since it uses as much as digits as its factorization.

10223013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437719 (or 437709 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10223013440 its reverse (4431032201), we get a palindrome (14654045641).

The spelling of 10223013440 in words is "ten billion, two hundred twenty-three million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 1168 1460 2336 2920 4672 5840 11680 23360 437629 875258 1750516 2188145 3501032 4376290 7002064 8752580 14004128 17505160 28008256 31946917 35010320 63893834 70020640 127787668 140041280 159734585 255575336 319469170 511150672 638938340 1022301344 1277876680 2044602688 2555753360 5111506720 10223013440