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2132242002 = 2331123156071
BaseRepresentation
bin111111100010111…
…0110111001010010
312111121012010011000
41333011312321102
513331323221002
6551325202430
7103560520662
oct17705667122
95447163130
102132242002
119a465aa80
124b6100416
1327c999477
141632801a2
15c72d561c
hex7f176e52

2132242002 has 64 divisors (see below), whose sum is σ = 5393848320. Its totient is φ = 618037200.

The previous prime is 2132241919. The next prime is 2132242003. The reversal of 2132242002 is 2002422312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2132242003) 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 31 ways as a sum of consecutive naturals, for example, 64374 + ... + 91697.

It is an arithmetic number, because the mean of its divisors is an integer number (84278880).

Almost surely, 22132242002 is an apocalyptic number.

2132242002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2132242002 is an abundant number, since it is smaller than the sum of its proper divisors (3261606318).

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

2132242002 is a wasteful number, since it uses less digits than its factorization.

2132242002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156116 (or 156110 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2132242002 is about 46176.2060156527. The cubic root of 2132242002 is about 1287.0996276949.

Adding to 2132242002 its reverse (2002422312), we get a palindrome (4134664314).

The spelling of 2132242002 in words is "two billion, one hundred thirty-two million, two hundred forty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 13662 156071 312142 468213 936426 1404639 1716781 2809278 3433562 3589633 4213917 5150343 7179266 8427834 10300686 10768899 15451029 21537798 30902058 32306697 39485963 46353087 64613394 78971926 92706174 96920091 118457889 193840182 236915778 355373667 710747334 1066121001 2132242002