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202070016 = 2113219577
BaseRepresentation
bin11000000101101…
…01100000000000
3112002020012221200
430002311200000
5403212220031
632015021200
75002365261
oct1402654000
9462205850
10202070016
11a4077215
125780a800
1332b30575
141cba0968
1512b178e6
hexc0b5800

202070016 has 144 divisors (see below), whose sum is σ = 615396600. Its totient is φ = 63700992.

The previous prime is 202070009. The next prime is 202070053. The reversal of 202070016 is 610070202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 349920 + ... + 350496.

Almost surely, 2202070016 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 202070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307698300).

202070016 is an abundant number, since it is smaller than the sum of its proper divisors (413326584).

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

202070016 is a wasteful number, since it uses less digits than its factorization.

202070016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 202070016 is about 14215.1333444326. The cubic root of 202070016 is about 586.8142144953.

The spelling of 202070016 in words is "two hundred two million, seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 577 608 684 768 912 1024 1152 1154 1216 1368 1536 1731 1824 2048 2304 2308 2432 2736 3072 3462 3648 4608 4616 4864 5193 5472 6144 6924 7296 9216 9232 9728 10386 10944 10963 13848 14592 18432 18464 19456 20772 21888 21926 27696 29184 32889 36928 38912 41544 43776 43852 55392 58368 65778 73856 83088 87552 87704 98667 110784 116736 131556 147712 166176 175104 175408 197334 221568 263112 295424 332352 350208 350816 394668 443136 526224 590848 664704 701632 789336 886272 1052448 1181696 1329408 1403264 1578672 1772544 2104896 2658816 2806528 3157344 3545088 4209792 5317632 5613056 6314688 8419584 10635264 11226112 12629376 16839168 22452224 25258752 33678336 50517504 67356672 101035008 202070016