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189866430 = 23451321973
BaseRepresentation
bin10110101000100…
…10000110111110
3111020021012210000
423110102012332
5342101211210
630501255130
74463560305
oct1324220676
9436235700
10189866430
11981a1506
12537044a6
1330449a00
141b30543c
1511a06ac0
hexb5121be

189866430 has 240 divisors, whose sum is σ = 589889520. Its totient is φ = 43670016.

The previous prime is 189866429. The next prime is 189866431. The reversal of 189866430 is 34668981.

189866430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189866429) and next prime (189866431).

It is a super-2 number, since 2×1898664302 = 72098522481889800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189866431) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2600874 + ... + 2600946.

It is an arithmetic number, because the mean of its divisors is an integer number (2457873).

Almost surely, 2189866430 is an apocalyptic number.

189866430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189866430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294944760).

189866430 is an abundant number, since it is smaller than the sum of its proper divisors (400023090).

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

189866430 is a wasteful number, since it uses less digits than its factorization.

189866430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 189866430 is about 13779.2028071293. The cubic root of 189866430 is about 574.7549604922.

The spelling of 189866430 in words is "one hundred eighty-nine million, eight hundred sixty-six thousand, four hundred thirty".