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997999900 = 2252234310091
BaseRepresentation
bin111011011111000…
…100010100011100
32120112220122111021
4323133010110130
54020441444100
6243010333524
733505600462
oct7337042434
92515818437
10997999900
11472388107
1223a28a2a4
1312b9b99b1
149678a832
155c938a1a
hex3b7c451c

997999900 has 72 divisors (see below), whose sum is σ = 2312601984. Its totient is φ = 372926400.

The previous prime is 997999879. The next prime is 997999931. The reversal of 997999900 is 9999799.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93855 + ... + 103945.

It is an arithmetic number, because the mean of its divisors is an integer number (32119472).

Almost surely, 2997999900 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 997999900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156300992).

997999900 is an abundant number, since it is smaller than the sum of its proper divisors (1314602084).

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

997999900 is a wasteful number, since it uses less digits than its factorization.

997999900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10171 (or 10164 counting only the distinct ones).

The product of its (nonzero) digits is 3720087, while the sum is 61.

The square root of 997999900 is about 31591.1364151402. The cubic root of 997999900 is about 999.3328550165.

It can be divided in two parts, 997999 and 900, that added together give a palindrome (998899).

The spelling of 997999900 in words is "nine hundred ninety-seven million, nine hundred ninety-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 43 46 50 86 92 100 115 172 215 230 430 460 575 860 989 1075 1150 1978 2150 2300 3956 4300 4945 9890 10091 19780 20182 24725 40364 49450 50455 98900 100910 201820 232093 252275 433913 464186 504550 867826 928372 1009100 1160465 1735652 2169565 2320930 4339130 4641860 5802325 8678260 9979999 10847825 11604650 19959998 21695650 23209300 39919996 43391300 49899995 99799990 199599980 249499975 498999950 997999900