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200153316 = 2231110115013
BaseRepresentation
bin10111110111000…
…01100011100100
3111221121211201210
423323201203210
5402214401231
631505551420
74650163236
oct1373414344
9457554653
10200153316
11a2a88170
1257045570
133260c01c
141c822256
1512889a46
hexbee18e4

200153316 has 48 divisors (see below), whose sum is σ = 514559808. Its totient is φ = 60048000.

The previous prime is 200153309. The next prime is 200153323. The reversal of 200153316 is 613351002.

It is an interprime number because it is at equal distance from previous prime (200153309) and next prime (200153323).

It is a super-2 number, since 2×2001533162 = 80122699811591712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 200153292 and 200153301.

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, 5826 + ... + 20838.

It is an arithmetic number, because the mean of its divisors is an integer number (10719996).

Almost surely, 2200153316 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 200153316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257279904).

200153316 is an abundant number, since it is smaller than the sum of its proper divisors (314406492).

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

200153316 is a wasteful number, since it uses less digits than its factorization.

200153316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15132 (or 15130 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 200153316 is about 14147.5551244729. Note that the first 3 decimals coincide. The cubic root of 200153316 is about 584.9529423759.

The spelling of 200153316 in words is "two hundred million, one hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 15013 30026 45039 60052 90078 165143 180156 330286 495429 660572 990858 1516313 1981716 3032626 4548939 6065252 9097878 16679443 18195756 33358886 50038329 66717772 100076658 200153316