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20072262100 = 225211171073383
BaseRepresentation
bin10010101100011001…
…100110100111010100
31220210212111120012211
4102230121212213110
5312101444341400
613115430123204
71310260261402
oct225431464724
956725446184
1020072262100
1185702a5670
123a821b0504
131b7b658c87
14d85b36472
157c7291dba
hex4ac6669d4

20072262100 has 72 divisors (see below), whose sum is σ = 50311654848. Its totient is φ = 6869644800.

The previous prime is 20072262079. The next prime is 20072262103. The reversal of 20072262100 is 126227002.

It is a super-2 number, since 2×200722621002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20072262103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517992 + ... + 555391.

It is an arithmetic number, because the mean of its divisors is an integer number (698772984).

Almost surely, 220072262100 is an apocalyptic number.

20072262100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20072262100 is an abundant number, since it is smaller than the sum of its proper divisors (30239392748).

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

20072262100 is a wasteful number, since it uses less digits than its factorization.

20072262100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073425 (or 1073418 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 20072262100 its reverse (126227002), we get a palindrome (20198489102).

The spelling of 20072262100 in words is "twenty billion, seventy-two million, two hundred sixty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 1073383 2146766 4293532 5366915 10733830 11807213 18247511 21467660 23614426 26834575 36495022 47228852 53669150 59036065 72990044 91237555 107338300 118072130 182475110 200722621 236144260 295180325 364950220 401445242 456187775 590360650 802890484 912375550 1003613105 1180721300 1824751100 2007226210 4014452420 5018065525 10036131050 20072262100