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2155149940 = 225193601929
BaseRepresentation
bin1000000001110100…
…1111101001110100
312120012021221221011
42000131033221310
513403204244230
6553504202004
7104256320656
oct20035175164
95505257834
102155149940
11a06587059
12501909304
1328465a368
141663246d6
15c930ce2a
hex8074fa74

2155149940 has 48 divisors (see below), whose sum is σ = 4561739280. Its totient is φ = 855244800.

The previous prime is 2155149929. The next prime is 2155149949. The reversal of 2155149940 is 499415512.

It can be written as a sum of positive squares in 8 ways, for example, as 242487184 + 1912662756 = 15572^2 + 43734^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2155149893 and 2155149902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155149949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319396 + ... + 2320324.

It is an arithmetic number, because the mean of its divisors is an integer number (95036235).

Almost surely, 22155149940 is an apocalyptic number.

2155149940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2155149940 is an abundant number, since it is smaller than the sum of its proper divisors (2406589340).

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

2155149940 is a wasteful number, since it uses less digits than its factorization.

2155149940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 2155149940 is about 46423.5924934725. The cubic root of 2155149940 is about 1291.6925762313.

The spelling of 2155149940 in words is "two billion, one hundred fifty-five million, one hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 193 386 601 772 929 965 1202 1858 1930 2404 3005 3716 3860 4645 6010 9290 12020 18580 115993 179297 231986 358594 463972 558329 579965 717188 896485 1116658 1159930 1792970 2233316 2319860 2791645 3585940 5583290 11166580 107757497 215514994 431029988 538787485 1077574970 2155149940