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1221322830 = 235713716301
BaseRepresentation
bin100100011001011…
…1110100001001110
310011010010121221220
41020302332201032
510000124312310
6321105104210
742160033650
oct11062764116
93133117856
101221322830
1157744aa12
122a1028066
1316604ba40
14b82c06d0
157234d670
hex48cbe84e

1221322830 has 128 divisors (see below), whose sum is σ = 3658991616. Its totient is φ = 254016000.

The previous prime is 1221322799. The next prime is 1221322867. The reversal of 1221322830 is 382231221.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1221322830.

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, 190680 + ... + 196980.

It is an arithmetic number, because the mean of its divisors is an integer number (28585872).

Almost surely, 21221322830 is an apocalyptic number.

1221322830 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 1221322830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829495808).

1221322830 is an abundant number, since it is smaller than the sum of its proper divisors (2437668786).

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

1221322830 is a wasteful number, since it uses less digits than its factorization.

1221322830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1221322830 is about 34947.4295192078. The cubic root of 1221322830 is about 1068.9157882409.

The spelling of 1221322830 in words is "one billion, two hundred twenty-one million, three hundred twenty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 71 78 91 105 130 142 182 195 210 213 273 355 390 426 455 497 546 710 910 923 994 1065 1365 1491 1846 2130 2485 2730 2769 2982 4615 4970 5538 6301 6461 7455 9230 12602 12922 13845 14910 18903 19383 27690 31505 32305 37806 38766 44107 63010 64610 81913 88214 94515 96915 132321 163826 189030 193830 220535 245739 264642 409565 441070 447371 491478 573391 661605 819130 894742 1146782 1228695 1323210 1342113 1720173 2236855 2457390 2684226 2866955 3131597 3440346 4473710 5733910 5815823 6263194 6710565 8600865 9394791 11631646 13421130 15657985 17201730 17447469 18789582 29079115 31315970 34894938 40710761 46973955 58158230 81421522 87237345 93947910 122132283 174474690 203553805 244264566 407107610 610661415 1221322830