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200213215552 = 26717315591657
BaseRepresentation
bin1011101001110110100…
…0110011100101000000
3201010210012111011020201
42322131220303211000
511240014040344202
6231550544014544
720315320152460
oct2723550634500
9633705434221
10200213215552
1177a011601a9
1232977001454
1315b5955281c
149994543ba0
15531c03e387
hex2e9da33940

200213215552 has 112 divisors (see below), whose sum is σ = 457248280320. Its totient is φ = 85203505152.

The previous prime is 200213215549. The next prime is 200213215603. The reversal of 200213215552 is 255512312002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2002132155522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 200213215552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120827908 + ... + 120829564.

Almost surely, 2200213215552 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 200213215552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228624140160).

200213215552 is an abundant number, since it is smaller than the sum of its proper divisors (257035064768).

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

200213215552 is a wasteful number, since it uses less digits than its factorization.

200213215552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 200213215552 its reverse (255512312002), we get a palindrome (455725527554).

The spelling of 200213215552 in words is "two hundred billion, two hundred thirteen million, two hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 173 224 346 448 692 1211 1384 1559 1657 2422 2768 3118 3314 4844 5536 6236 6628 9688 10913 11072 11599 12472 13256 19376 21826 23198 24944 26512 38752 43652 46396 49888 53024 77504 87304 92792 99776 106048 174608 185584 269707 286661 349216 371168 539414 573322 698432 742336 1078828 1146644 1887949 2006627 2157656 2293288 2583263 3775898 4013254 4315312 4586576 5166526 7551796 8026508 8630624 9173152 10333052 15103592 16053016 17261248 18082841 18346304 20666104 30207184 32106032 36165682 41332208 60414368 64212064 72331364 82664416 120828736 128424128 144662728 165328832 289325456 446904499 578650912 893808998 1157301824 1787617996 3128331493 3575235992 6256662986 7150471984 12513325972 14300943968 25026651944 28601887936 50053303888 100106607776 200213215552