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1022250412830 = 235197334751679
BaseRepresentation
bin11101110000000101101…
…11110110101100011110
310121201121101111111210010
432320002313312230132
5113222032101202310
62101340530024050
7133566214066203
oct16700267665436
93551541444703
101022250412830
11364596787429
12146151718026
1375522c760aa
143769756dcaa
151b8ced5b320
hexee02df6b1e

1022250412830 has 64 divisors (see below), whose sum is σ = 2466639267840. Its totient is φ = 271130073984.

The previous prime is 1022250412811. The next prime is 1022250412831. The reversal of 1022250412830 is 382140522201.

It is a super-2 number, since 2×10222504128302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022250412831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19754931 + ... + 19806609.

It is an arithmetic number, because the mean of its divisors is an integer number (38541238560).

Almost surely, 21022250412830 is an apocalyptic number.

1022250412830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022250412830 is an abundant number, since it is smaller than the sum of its proper divisors (1444388855010).

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

1022250412830 is a wasteful number, since it uses less digits than its factorization.

1022250412830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55233.

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 1022250412830 in words is "one trillion, twenty-two billion, two hundred fifty million, four hundred twelve thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 197 394 591 985 1182 1970 2955 3347 5910 6694 10041 16735 20082 33470 50205 51679 100410 103358 155037 258395 310074 516790 659359 775185 1318718 1550370 1978077 3296795 3956154 6593590 9890385 10180763 19780770 20361526 30542289 50903815 61084578 101807630 152711445 172969613 305422890 345939226 518908839 864848065 1037817678 1729696130 2594544195 5189088390 34075013761 68150027522 102225041283 170375068805 204450082566 340750137610 511125206415 1022250412830