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2252215151040 = 26355023467063
BaseRepresentation
bin100000110001100010011…
…110111110100111000000
321222022100202011001001110
4200301202132332213000
5243400014034313130
64442353043003320
7321500663626101
oct40614236764700
97868322131043
102252215151040
11799182812878
123045b2369540
131344c952ac0a
147b0175643a8
153d8ba507ab0
hex20c627be9c0

2252215151040 has 112 divisors (see below), whose sum is σ = 7152222025728. Its totient is φ = 600469853184.

The previous prime is 2252215151029. The next prime is 2252215151041. The reversal of 2252215151040 is 401515122522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2252215150989 and 2252215151007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252215151041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4588549 + ... + 5055611.

Almost surely, 22252215151040 is an apocalyptic number.

2252215151040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252215151040 is an abundant number, since it is smaller than the sum of its proper divisors (4900006874688).

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

2252215151040 is a wasteful number, since it uses less digits than its factorization.

2252215151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472106 (or 472096 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 2252215151040 in words is "two trillion, two hundred fifty-two billion, two hundred fifteen million, one hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 5023 10046 15069 20092 25115 30138 40184 50230 60276 75345 80368 100460 120552 150690 160736 200920 241104 301380 321472 401840 467063 482208 602760 803680 934126 964416 1205520 1401189 1607360 1868252 2335315 2411040 2802378 3736504 4670630 4822080 5604756 7005945 7473008 9341260 11209512 14011890 14946016 18682520 22419024 28023780 29892032 37365040 44838048 56047560 74730080 89676096 112095120 149460160 224190240 448380480 2346057449 4692114898 7038172347 9384229796 11730287245 14076344694 18768459592 23460574490 28152689388 35190861735 37536919184 46921148980 56305378776 70381723470 75073838368 93842297960 112610757552 140763446940 150147676736 187684595920 225221515104 281526893880 375369191840 450443030208 563053787760 750738383680 1126107575520 2252215151040