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114950472 = 233721373103
BaseRepresentation
bin1101101101000…
…00000101001000
322000022002101220
412312200011020
5213411403342
615223442040
72564030400
oct666400510
9260262356
10114950472
1159982a9a
12325b6320
131aa79740
14113a3800
15a1595ec
hex6da0148

114950472 has 192 divisors, whose sum is σ = 368484480. Its totient is φ = 29611008.

The previous prime is 114950471. The next prime is 114950483. The reversal of 114950472 is 274059411.

It is a happy number.

It is a super-2 number, since 2×1149504722 = 26427222026045568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114950471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115973 + ... + 1116075.

It is an arithmetic number, because the mean of its divisors is an integer number (1919190).

Almost surely, 2114950472 is an apocalyptic number.

114950472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114950472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184242240).

114950472 is an abundant number, since it is smaller than the sum of its proper divisors (253534008).

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

114950472 is a wasteful number, since it uses less digits than its factorization.

114950472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 114950472 is about 10721.4957911665. The cubic root of 114950472 is about 486.2245909408.

The spelling of 114950472 in words is "one hundred fourteen million, nine hundred fifty thousand, four hundred seventy-two".