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2142197248 = 295389887
BaseRepresentation
bin111111110101111…
…0101011000000000
312112021220220011211
41333223311120000
513341400302443
6552322415504
7104041243012
oct17753653000
95467826154
102142197248
119aa23a554
124b9501594
13281a73849
141647121b2
15c810019d
hex7faf5600

2142197248 has 80 divisors (see below), whose sum is σ = 4414940640. Its totient is φ = 1037910016.

The previous prime is 2142197243. The next prime is 2142197257. The reversal of 2142197248 is 8427912412.

It is a self number, because there is not a number n which added to its sum of digits gives 2142197248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142197243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2414661 + ... + 2415547.

It is an arithmetic number, because the mean of its divisors is an integer number (55186758).

Almost surely, 22142197248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207470320).

2142197248 is an abundant number, since it is smaller than the sum of its proper divisors (2272743392).

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

2142197248 is an frugal number, since it uses more digits than its factorization.

2142197248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1031 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 2142197248 is about 46283.8767607036. The cubic root of 2142197248 is about 1289.0996357374.

It can be divided in two parts, 2 and 142197248, that multiplied together give a square (284394496 = 168642).

The spelling of 2142197248 in words is "two billion, one hundred forty-two million, one hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 53 64 89 106 128 178 212 256 356 424 512 712 848 887 1424 1696 1774 2848 3392 3548 4717 5696 6784 7096 9434 11392 13568 14192 18868 22784 27136 28384 37736 45568 47011 56768 75472 78943 94022 113536 150944 157886 188044 227072 301888 315772 376088 454144 603776 631544 752176 1207552 1263088 1504352 2415104 2526176 3008704 4183979 5052352 6017408 8367958 10104704 12034816 16735916 20209408 24069632 33471832 40418816 66943664 133887328 267774656 535549312 1071098624 2142197248