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202384428030 = 232515723959929
BaseRepresentation
bin1011110001111100001…
…1010100101111111110
3201100101112000011211200
42330133003110233332
511303440403144110
6232550224400330
720423163153141
oct2743703245776
9640345004750
10202384428030
1178915808284
12332821760a6
1316114315035
149b1ca4a058
1553e79716c0
hex2f1f0d4bfe

202384428030 has 96 divisors (see below), whose sum is σ = 531775670400. Its totient is φ = 53400162816.

The previous prime is 202384427957. The next prime is 202384428061. The reversal of 202384428030 is 30824483202.

It is a happy number.

202384428030 is a `hidden beast` number, since 202 + 3 + 8 + 442 + 8 + 0 + 3 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3347106 + ... + 3407034.

It is an arithmetic number, because the mean of its divisors is an integer number (5539329900).

Almost surely, 2202384428030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202384428030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265887835200).

202384428030 is an abundant number, since it is smaller than the sum of its proper divisors (329391242370).

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

202384428030 is a wasteful number, since it uses less digits than its factorization.

202384428030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60338 (or 60335 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 202384428030 in words is "two hundred two billion, three hundred eighty-four million, four hundred twenty-eight thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 239 314 471 478 717 785 942 1195 1413 1434 1570 2151 2355 2390 2826 3585 4302 4710 7065 7170 10755 14130 21510 37523 59929 75046 112569 119858 179787 187615 225138 299645 337707 359574 375230 539361 562845 599290 675414 898935 1078722 1125690 1688535 1797870 2696805 3377070 5393610 9408853 14323031 18817706 28226559 28646062 42969093 47044265 56453118 71615155 84679677 85938186 94088530 128907279 141132795 143230310 169359354 214845465 257814558 282265590 423398385 429690930 644536395 846796770 1289072790 2248715867 4497431734 6746147601 11243579335 13492295202 20238442803 22487158670 33730738005 40476885606 67461476010 101192214015 202384428030