Search a number
-
+
30193027583220 = 223352914281135007
BaseRepresentation
bin1101101110101110111001…
…01011110000110011110100
310221220102111000010222021000
412313113130223300303310
512424140310030130340
6144114252502123300
76234242240645415
oct667273453606364
9127812430128230
1030193027583220
119690877a38337
12347773ba20530
1313b0262092408
147654c945180c
153755cb081d30
hex1b75dcaf0cf4

30193027583220 has 192 divisors, whose sum is σ = 97180486502400. Its totient is φ = 7773235061760.

The previous prime is 30193027583167. The next prime is 30193027583231. The reversal of 30193027583220 is 2238572039103.

30193027583220 is a `hidden beast` number, since 3 + 0 + 19 + 30 + 2 + 7 + 583 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223572957 + ... + 223707963.

It is an arithmetic number, because the mean of its divisors is an integer number (506148367200).

Almost surely, 230193027583220 is an apocalyptic number.

30193027583220 is a gapful number since it is divisible by the number (30) 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 30193027583220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48590243251200).

30193027583220 is an abundant number, since it is smaller than the sum of its proper divisors (66987458919180).

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

30193027583220 is a wasteful number, since it uses less digits than its factorization.

30193027583220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149335 (or 149327 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 30193027583220 in words is "thirty trillion, one hundred ninety-three billion, twenty-seven million, five hundred eighty-three thousand, two hundred twenty".