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20444022240 = 253542591713
BaseRepresentation
bin10011000010100011…
…110000010111100000
31221202210000221020220
4103002203300113200
5313332132202430
613220350203040
71322423215245
oct230243602740
957683027226
1020444022240
118741132554
123b667b3480
131c0a6907a5
14dbd2695cc
157e9c28110
hex4c28f05e0

20444022240 has 48 divisors (see below), whose sum is σ = 64398671568. Its totient is φ = 5451739136.

The previous prime is 20444022191. The next prime is 20444022251. The reversal of 20444022240 is 4222044402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×204440222402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20444022240.

It is a congruent number.

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, 21295377 + ... + 21296336.

It is an arithmetic number, because the mean of its divisors is an integer number (1341638991).

Almost surely, 220444022240 is an apocalyptic number.

20444022240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20444022240 is an abundant number, since it is smaller than the sum of its proper divisors (43954649328).

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

20444022240 is a wasteful number, since it uses less digits than its factorization.

20444022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42591731 (or 42591723 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20444022240 its reverse (4222044402), we get a palindrome (24666066642).

The spelling of 20444022240 in words is "twenty billion, four hundred forty-four million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 42591713 85183426 127775139 170366852 212958565 255550278 340733704 425917130 511100556 638875695 681467408 851834260 1022201112 1277751390 1362934816 1703668520 2044402224 2555502780 3407337040 4088804448 5111005560 6814674080 10222011120 20444022240