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38398223356900 = 2252112563332
BaseRepresentation
bin10001011101100010010000…
…11101101001001111100100
312000221211112012120201011221
420232301020131221033210
520013104030134410100
6213355522243510124
711042115525162121
oct1056611035511744
9160854465521157
1038398223356900
1111264660055400
1243819bb388344
131856c2456ba24
1496a6abc75748
15468c5c69501a
hex22ec487693e4

38398223356900 has 81 divisors (see below), whose sum is σ = 91589322079003. Its totient is φ = 13962742446400.

The previous prime is 38398223356873. The next prime is 38398223357107. The reversal of 38398223356900 is 965332289383.

The square root of 38398223356900 is 6196630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19839772922596 + 18558450434304 = 4454186^2 + 4307952^2 .

It is a super-2 number, since 2×383982233569002 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 681601134 + ... + 681657466.

Almost surely, 238398223356900 is an apocalyptic number.

38398223356900 is the 6196630-th square number.

It is an amenable number.

38398223356900 is an abundant number, since it is smaller than the sum of its proper divisors (53191098722103).

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

38398223356900 is an frugal number, since it uses more digits than its factorization.

38398223356900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112702 (or 56351 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 61.

The spelling of 38398223356900 in words is "thirty-eight trillion, three hundred ninety-eight billion, two hundred twenty-three million, three hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 56333 112666 225332 281665 563330 619663 1126660 1239326 1408325 2478652 2816650 3098315 5633300 6196630 6816293 12393260 13632586 15491575 27265172 30983150 34081465 61966300 68162930 136325860 170407325 340814650 681629300 3173406889 6346813778 12693627556 15867034445 31734068890 34907475779 63468137780 69814951558 79335172225 139629903116 158670344450 174537378895 317340688900 349074757790 383982233569 698149515580 767964467138 872686894475 1535928934276 1745373788950 1919911167845 3490747577900 3839822335690 7679644671380 9599555839225 19199111678450 38398223356900