Search a number
-
+
2190616506 = 2321361153469
BaseRepresentation
bin1000001010010010…
…0010011110111010
312122200000211220200
42002210202132322
513441244212011
61001212303030
7105166635021
oct20244423672
95580024820
102190616506
11a24600671
12511771a76
1328bac75b0
1416ad178b8
15cc4b6856
hex829227ba

2190616506 has 48 divisors (see below), whose sum is σ = 5195266440. Its totient is φ = 662981760.

The previous prime is 2190616469. The next prime is 2190616591. The reversal of 2190616506 is 6056160912.

2190616506 is a `hidden beast` number, since 2 + 1 + 90 + 61 + 6 + 506 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1508623281 + 681993225 = 38841^2 + 26115^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62461 + ... + 91008.

Almost surely, 22190616506 is an apocalyptic number.

2190616506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2190616506 is an abundant number, since it is smaller than the sum of its proper divisors (3004649934).

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

2190616506 is a wasteful number, since it uses less digits than its factorization.

2190616506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153551 (or 153548 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2190616506 is about 46804.0223271462. The cubic root of 2190616506 is about 1298.7397068008.

The spelling of 2190616506 in words is "two billion, one hundred ninety million, six hundred sixteen thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 4758 7137 14274 153469 306938 460407 920814 1381221 1995097 2762442 3990194 5985291 9361609 11970582 17955873 18723218 28084827 35911746 56169654 84254481 121700917 168508962 243401834 365102751 730205502 1095308253 2190616506