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1122166830 = 235314725673
BaseRepresentation
bin100001011100010…
…1110100000101110
32220012112222111110
41002320232200232
54244233314310
6303203532450
736544155261
oct10270564056
92805488443
101122166830
11526485604
1227398a126
1314b642455
14a906ccd8
15687b3d20
hex42e2e82e

1122166830 has 64 divisors (see below), whose sum is σ = 2839339008. Its totient is φ = 283418880.

The previous prime is 1122166823. The next prime is 1122166873. The reversal of 1122166830 is 386612211.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30874 + ... + 56546.

It is an arithmetic number, because the mean of its divisors is an integer number (44364672).

Almost surely, 21122166830 is an apocalyptic number.

1122166830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122166830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419669504).

1122166830 is an abundant number, since it is smaller than the sum of its proper divisors (1717172178).

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

1122166830 is a wasteful number, since it uses less digits than its factorization.

1122166830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25761.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1122166830 is about 33498.7586337166. The cubic root of 1122166830 is about 1039.1681063205.

The spelling of 1122166830 in words is "one billion, one hundred twenty-two million, one hundred sixty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 47 62 93 94 141 155 186 235 282 310 465 470 705 930 1410 1457 2914 4371 7285 8742 14570 21855 25673 43710 51346 77019 128365 154038 256730 385095 770190 795863 1206631 1591726 2387589 2413262 3619893 3979315 4775178 6033155 7239786 7958630 11937945 12066310 18099465 23875890 36198930 37405561 74811122 112216683 187027805 224433366 374055610 561083415 1122166830