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874223616 = 2113720327
BaseRepresentation
bin110100000110111…
…001100000000000
32020221000011100110
4310012321200000
53242300123431
6222425351320
730443530620
oct6406714000
92227004313
10874223616
11409527162
12204938540
1310c16cca6
148416a880
1551b39346
hex341b9800

874223616 has 96 divisors (see below), whose sum is σ = 2663781120. Its totient is φ = 249765888.

The previous prime is 874223543. The next prime is 874223621. The reversal of 874223616 is 616322478.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32845 + ... + 53171.

It is an arithmetic number, because the mean of its divisors is an integer number (27747720).

Almost surely, 2874223616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331890560).

874223616 is an abundant number, since it is smaller than the sum of its proper divisors (1789557504).

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

874223616 is a wasteful number, since it uses less digits than its factorization.

874223616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20359 (or 20339 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 874223616 is about 29567.2727183283. The cubic root of 874223616 is about 956.1826183116.

The spelling of 874223616 in words is "eight hundred seventy-four million, two hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 20327 21504 40654 43008 60981 81308 121962 142289 162616 243924 284578 325232 426867 487848 569156 650464 853734 975696 1138312 1300928 1707468 1951392 2276624 2601856 3414936 3902784 4553248 5203712 6829872 7805568 9106496 10407424 13659744 15611136 18212992 20814848 27319488 31222272 36425984 41629696 54638976 62444544 72851968 109277952 124889088 145703936 218555904 291407872 437111808 874223616