Search a number
-
+
155228990560 = 25574759151331
BaseRepresentation
bin1001000010010001011…
…1100110110001100000
3112211200011201202102121
42100210113212301200
510020402110144220
6155151115554024
714133501435460
oct2204427466140
9484604652377
10155228990560
115a91779a156
1226101a5b914
131183a9a5a07
14772801dba0
154087bb9eaa
hex24245e6c60

155228990560 has 384 divisors, whose sum is σ = 439497031680. Its totient is φ = 50713344000.

The previous prime is 155228990447. The next prime is 155228990563. The reversal of 155228990560 is 65099822551.

It is a super-2 number, since 2×1552289905602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 155228990498 and 155228990507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155228990563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468969595 + ... + 468969925.

It is an arithmetic number, because the mean of its divisors is an integer number (1144523520).

Almost surely, 2155228990560 is an apocalyptic number.

155228990560 is a gapful number since it is divisible by the number (10) 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 155228990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219748515840).

155228990560 is an abundant number, since it is smaller than the sum of its proper divisors (284268041120).

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

155228990560 is a wasteful number, since it uses less digits than its factorization.

155228990560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 52.

The spelling of 155228990560 in words is "one hundred fifty-five billion, two hundred twenty-eight million, nine hundred ninety thousand, five hundred sixty".