Search a number
-
+
12202301952 = 29324361583
BaseRepresentation
bin10110101110101000…
…00101101000000000
31011111101210011110100
423113110011220000
5144442242130302
65334453402400
7611245566231
oct132724055000
934441704410
1012202301952
1151a1977075
122446639400
1311c6046819
1483a83d088
154b63d1d1c
hex2d7505a00

12202301952 has 120 divisors (see below), whose sum is σ = 36036247104. Its totient is φ = 3972777984.

The previous prime is 12202301887. The next prime is 12202301959. The reversal of 12202301952 is 25910320221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12202301959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167353 + ... + 228935.

Almost surely, 212202301952 is an apocalyptic number.

12202301952 is a gapful number since it is divisible by the number (12) 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 12202301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18018123552).

12202301952 is an abundant number, since it is smaller than the sum of its proper divisors (23833945152).

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

12202301952 is an equidigital number, since it uses as much as digits as its factorization.

12202301952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61650 (or 61631 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12202301952 in words is "twelve billion, two hundred two million, three hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1032 1152 1376 1536 1548 2064 2304 2752 3096 4128 4608 5504 6192 8256 11008 12384 16512 22016 24768 33024 49536 61583 66048 99072 123166 184749 198144 246332 369498 492664 554247 738996 985328 1108494 1477992 1970656 2216988 2648069 2955984 3941312 4433976 5296138 5911968 7882624 7944207 8867952 10592276 11823936 15765248 15888414 17735904 21184552 23647872 23832621 31530496 31776828 35471808 42369104 47295744 47665242 63553656 70943616 84738208 94591488 95330484 127107312 141887232 169476416 190660968 254214624 283774464 338952832 381321936 508429248 677905664 762643872 1016858496 1355811328 1525287744 2033716992 3050575488 4067433984 6101150976 12202301952