Search a number
-
+
2190740448 = 253131755401
BaseRepresentation
bin1000001010010100…
…0000101111100000
312122200021010221010
42002211000233200
513441312143243
61001215100520
7105200662251
oct20245005740
95580233833
102190740448
11a246857a6
12511811740
1328bb3bb30
1416ad4ab28
15cc4dd433
hex82940be0

2190740448 has 48 divisors (see below), whose sum is σ = 6193058256. Its totient is φ = 674073600.

The previous prime is 2190740443. The next prime is 2190740459. The reversal of 2190740448 is 8440470912.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190740443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 876453 + ... + 878948.

It is an arithmetic number, because the mean of its divisors is an integer number (129022047).

Almost surely, 22190740448 is an apocalyptic number.

It is an amenable number.

2190740448 is an abundant number, since it is smaller than the sum of its proper divisors (4002317808).

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

2190740448 is a wasteful number, since it uses less digits than its factorization.

2190740448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755427 (or 1755419 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2190740448 is about 46805.3463612865. The cubic root of 2190740448 is about 1298.7641999607.

The spelling of 2190740448 in words is "two billion, one hundred ninety million, seven hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1755401 3510802 5266203 7021604 10532406 14043208 21064812 22820213 28086416 42129624 45640426 56172832 68460639 84259248 91280852 136921278 168518496 182561704 273842556 365123408 547685112 730246816 1095370224 2190740448