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20225513040 = 2435831735869
BaseRepresentation
bin10010110101100010…
…001101011001010000
31221012112212111222120
4102311202031121100
5312410212404130
613142542534240
71314131011215
oct226542153120
957175774876
1020225513040
118639858337
123b05597380
131ba43257c5
14d9c229b0c
157d5964910
hex4b588d650

20225513040 has 160 divisors (see below), whose sum is σ = 63832164480. Its totient is φ = 5296785408.

The previous prime is 20225513023. The next prime is 20225513057. The reversal of 20225513040 is 4031552202.

It is an interprime number because it is at equal distance from previous prime (20225513023) and next prime (20225513057).

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 20225513040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3443226 + ... + 3449094.

It is an arithmetic number, because the mean of its divisors is an integer number (398951028).

Almost surely, 220225513040 is an apocalyptic number.

20225513040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20225513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31916082240).

20225513040 is an abundant number, since it is smaller than the sum of its proper divisors (43606651440).

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

20225513040 is a wasteful number, since it uses less digits than its factorization.

20225513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 20225513040 in words is "twenty billion, two hundred twenty-five million, five hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 173 240 249 332 346 415 498 519 664 692 830 865 996 1038 1245 1328 1384 1660 1730 1992 2076 2490 2595 2768 3320 3460 3984 4152 4980 5190 5869 6640 6920 8304 9960 10380 11738 13840 14359 17607 19920 20760 23476 28718 29345 35214 41520 43077 46952 57436 58690 70428 71795 86154 88035 93904 114872 117380 140856 143590 172308 176070 215385 229744 234760 281712 287180 344616 352140 430770 469520 487127 574360 689232 704280 861540 974254 1015337 1148720 1408560 1461381 1723080 1948508 2030674 2435635 2922762 3046011 3446160 3897016 4061348 4871270 5076685 5845524 6092022 7306905 7794032 8122696 9742540 10153370 11691048 12184044 14613810 15230055 16245392 19485080 20306740 23382096 24368088 29227620 30460110 38970160 40613480 48736176 58455240 60920220 81226960 84272971 116910480 121840440 168545942 243680880 252818913 337091884 421364855 505637826 674183768 842729710 1011275652 1264094565 1348367536 1685459420 2022551304 2528189130 3370918840 4045102608 5056378260 6741837680 10112756520 20225513040