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2252199936 = 2113727481
BaseRepresentation
bin1000011000111101…
…1101100000000000
312210221220121111110
42012033131200000
514103030344221
61011252243320
7106545245400
oct20617354000
95727817443
102252199936
11a56343168
1252a310540
1329b7aa1ac
14175188800
15d2acd776
hex863dd800

2252199936 has 144 divisors (see below), whose sum is σ = 6985644120. Its totient is φ = 643399680.

The previous prime is 2252199893. The next prime is 2252199973. The reversal of 2252199936 is 6399912522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297316 + ... + 304796.

Almost surely, 22252199936 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 2252199936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492822060).

2252199936 is an abundant number, since it is smaller than the sum of its proper divisors (4733444184).

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

2252199936 is an equidigital number, since it uses as much as digits as its factorization.

2252199936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7493 counting only the distinct ones).

The product of its digits is 524880, while the sum is 48.

The square root of 2252199936 is about 47457.3485985047. The cubic root of 2252199936 is about 1310.7976293489.

The spelling of 2252199936 in words is "two billion, two hundred fifty-two million, one hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4704 5376 6144 6272 7168 7481 9408 10752 12544 14336 14962 18816 21504 22443 25088 29924 37632 43008 44886 50176 52367 59848 75264 89772 100352 104734 119696 150528 157101 179544 209468 239392 301056 314202 359088 366569 418936 478784 628404 718176 733138 837872 957568 1099707 1256808 1436352 1466276 1675744 1915136 2199414 2513616 2872704 2932552 3351488 3830272 4398828 5027232 5745408 5865104 6702976 7660544 8797656 10054464 11490816 11730208 13405952 15321088 17595312 20108928 22981632 23460416 26811904 35190624 40217856 45963264 46920832 53623808 70381248 80435712 93841664 107247616 140762496 160871424 187683328 281524992 321742848 375366656 563049984 750733312 1126099968 2252199936