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1230152200 = 235273109773
BaseRepresentation
bin100100101010010…
…1010001000001000
310011201202012120121
41021110222020020
510004404332300
6322022233024
742325056364
oct11124521010
93151665517
101230152200
11581430612
122a3b85774
13167b20814
14b953c2a4
1572ee481a
hex4952a208

1230152200 has 96 divisors (see below), whose sum is σ = 2929667400. Its totient is φ = 480245760.

The previous prime is 1230152179. The next prime is 1230152219. The reversal of 1230152200 is 22510321.

It can be written as a sum of positive squares in 12 ways, for example, as 17859076 + 1212293124 = 4226^2 + 34818^2 .

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, 1591014 + ... + 1591786.

Almost surely, 21230152200 is an apocalyptic number.

1230152200 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 1230152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464833700).

1230152200 is an abundant number, since it is smaller than the sum of its proper divisors (1699515200).

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

1230152200 is a wasteful number, since it uses less digits than its factorization.

1230152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1230152200 is about 35073.5256283140. The cubic root of 1230152200 is about 1071.4854611909.

Adding to 1230152200 its reverse (22510321), we get a palindrome (1252662521).

The spelling of 1230152200 in words is "one billion, two hundred thirty million, one hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 109 146 200 218 292 365 436 545 584 730 773 872 1090 1460 1546 1825 2180 2725 2920 3092 3650 3865 4360 5450 6184 7300 7730 7957 10900 14600 15460 15914 19325 21800 30920 31828 38650 39785 56429 63656 77300 79570 84257 112858 154600 159140 168514 198925 225716 282145 318280 337028 397850 421285 451432 564290 674056 795700 842570 1128580 1410725 1591400 1685140 2106425 2257160 2821450 3370280 4212850 5642900 6150761 8425700 11285800 12301522 16851400 24603044 30753805 49206088 61507610 123015220 153769025 246030440 307538050 615076100 1230152200