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2148712002 = 23354137351
BaseRepresentation
bin1000000000010010…
…1011111001000010
312112202011212202000
42000010223321002
513400032241002
6553114204430
7104150515323
oct20004537102
95482155660
102148712002
11a0298a148
124bb723716
13283214c28
1416552a44a
15c898a61c
hex8012be42

2148712002 has 32 divisors (see below), whose sum is σ = 4776447360. Its totient is φ = 716007600.

The previous prime is 2148711977. The next prime is 2148712037. The reversal of 2148712002 is 2002178412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288627 + ... + 295977.

It is an arithmetic number, because the mean of its divisors is an integer number (149263980).

Almost surely, 22148712002 is an apocalyptic number.

2148712002 is an abundant number, since it is smaller than the sum of its proper divisors (2627735358).

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

2148712002 is a wasteful number, since it uses less digits than its factorization.

2148712002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12775 (or 12769 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2148712002 is about 46354.2015571404. The cubic root of 2148712002 is about 1290.4050972201.

It can be divided in two parts, 21487 and 12002, that added together give a square (33489 = 1832).

The spelling of 2148712002 in words is "two billion, one hundred forty-eight million, seven hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 27 54 5413 7351 10826 14702 16239 22053 32478 44106 48717 66159 97434 132318 146151 198477 292302 396954 39790963 79581926 119372889 238745778 358118667 716237334 1074356001 2148712002