Search a number
-
+
155622360100 = 225210323832
BaseRepresentation
bin1001000011101111010…
…0001100010000100100
3112212200120220222222211
42100323310030100210
510022203311010400
6155254131133204
714146316143444
oct2207364142044
9485616828884
10155622360100
115aaa9846549
12261b1744204
13118a133535c
14776437a124
1540ac4bddba
hex243bd0c424

155622360100 has 81 divisors (see below), whose sum is σ = 341903691633. Its totient is φ = 61483633440.

The previous prime is 155622360059. The next prime is 155622360193. The reversal of 155622360100 is 1063226551.

The square root of 155622360100 is 394490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56024049636 + 99598310464 = 236694^2 + 315592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 406324509 + ... + 406324891.

Almost surely, 2155622360100 is an apocalyptic number.

155622360100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155622360100 is the 394490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155622360100

155622360100 is an abundant number, since it is smaller than the sum of its proper divisors (186281331533).

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

155622360100 is an equidigital number, since it uses as much as digits as its factorization.

155622360100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 155622360100 its reverse (1063226551), we get a palindrome (156685586651).

The spelling of 155622360100 in words is "one hundred fifty-five billion, six hundred twenty-two million, three hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 383 412 515 766 1030 1532 1915 2060 2575 3830 5150 7660 9575 10300 10609 19150 21218 38300 39449 42436 53045 78898 106090 146689 157796 197245 212180 265225 293378 394490 530450 586756 733445 788980 986225 1060900 1466890 1972450 2933780 3667225 3944900 4063247 7334450 8126494 14668900 15108967 16252988 20316235 30217934 40632470 60435868 75544835 81264940 101581175 151089670 203162350 302179340 377724175 406324700 755448350 1510896700 1556223601 3112447202 6224894404 7781118005 15562236010 31124472020 38905590025 77811180050 155622360100