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2132313200 = 245213140693
BaseRepresentation
bin111111100011000…
…1000010001110000
312111121022201210222
41333012020101300
513331333010300
6551330512212
7103561235363
oct17706102160
95447281728
102132313200
119a46a9516
124b6135668
1327c9c29b4
1416329c0da
15c72eb785
hex7f188470

2132313200 has 60 divisors (see below), whose sum is σ = 5162115288. Its totient is φ = 846393600.

The previous prime is 2132313181. The next prime is 2132313203. The reversal of 2132313200 is 23132312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132313203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32054 + ... + 72746.

Almost surely, 22132313200 is an apocalyptic number.

2132313200 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 2132313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581057644).

2132313200 is an abundant number, since it is smaller than the sum of its proper divisors (3029802088).

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

2132313200 is a wasteful number, since it uses less digits than its factorization.

2132313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40842 (or 40831 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2132313200 is about 46176.9769473923. The cubic root of 2132313200 is about 1287.1139534451.

Adding to 2132313200 its reverse (23132312), we get a palindrome (2155445512).

The spelling of 2132313200 in words is "two billion, one hundred thirty-two million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 131 200 262 400 524 655 1048 1310 2096 2620 3275 5240 6550 10480 13100 26200 40693 52400 81386 162772 203465 325544 406930 651088 813860 1017325 1627720 2034650 3255440 4069300 5330783 8138600 10661566 16277200 21323132 26653915 42646264 53307830 85292528 106615660 133269575 213231320 266539150 426462640 533078300 1066156600 2132313200